Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) cos 2x

Answers

Answer 1

Let [tex]y=\cos(2x)[/tex], with first two derivatives

[tex]Dy = -2\sin(2x)[/tex]

[tex]D^2y = -4\cos(2x)[/tex]

Consider the linear ODE

[tex]aD^2y + bDy + cy = 0[/tex]

Substitute [tex]y[/tex] and its derivatives and solve for the unknown coefficients [tex]a,b,c[/tex].

[tex]-4a\cos(2x) - 2b\sin(2x) + c\cos(2x) = 0[/tex]

[tex]\implies \begin{cases}-4a+c=0 \\ -2b=0 \end{cases}[/tex]

[tex]\implies b=0 \text{ and } c= 4a[/tex]

Then the minimal ODE with this solution is

[tex]aD^2y + 4ay = 0 \implies \boxed{D^2y + 4y = 0}[/tex]


Related Questions

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.

Answers

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

Please help. Mathematics.

Answers

Step 4 cause 1.4116*800=1129.28.
step 4, so sorry if wrong!!!

HELP PLEASE PLEASE PLEASE

Answers

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

(y - 0) = -1/2 * (x - -6)

y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

         x + 2y = - 6

Step-by-step explanation:

X-intercept:  (-6, 0)

Y-intercept:  (0, -3)    ⇒   b = -3

Slope:   [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{0+3}{-6+0}=-\dfrac12[/tex]

Slope-intercept form  y = mx + b

[tex]y=-\frac12x-3[/tex]        {multiply both sides by 2}

2y = - x - 6          {add x to both sides}

x + 2y = - 6

twice the sum of j and 4

Answers

Answer:

J+4*2

Step-by-step explanation:

(4,1) slope = 2 , point slope form

Answers

Answer:

y-1=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-4)

Answer:

[tex]y=2x-7[/tex]

Step-by-step explanation:

[tex]y=2x-7[/tex]

Hope I helped!

Check out my profile for more answers!

I looks better also whats 7% of 798 explain

Answers

7% of 798 is 55.86.

Answer:

cappppppppppp

Step-by-step explanation:

jp wyd homie


For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32

Answers

Answer:

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

y*x=k or y= k/x

in this problem we have that

the value of the constant K is equal to 8

so

pv=8

Solve for V

v=8/p

Find the value of V for p=4

substitute the value of P in the formula

v=8/4=2

therefore

the answer is

the value of V is equal to 2

4. the following are the varriables in the term 10xyz Except

5. Evaluate the given algebric expression m2 - 3m + 2 if m =3.

6.What is the value of the varriable so that the algebraic expression s2 - 16 will result to 0.

help plsss​

Answers

Answer:

Step-by-step explanation:

5. Putting value of m = 3

m2 - 3m + 2

(3)2 - 3(3) + 2

6 - 9 + 2

= - 1

The answer is -1 pretty sure

What's the slope of the table

Answers

Answer:

8 3 5 4 6 8 8 4 8 8. 8 8 8 8 8 8 8 7 7 7 7 77 7 4 4. 5 8

Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.

1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]

Answers

Answer:

See the attached

Step-by-step explanation:

y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the out of range region.

Answer:

  {(1, 0), (2, 0), (2, 1)}

Step-by-step explanation:

In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.

Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0

Show how you got that answer

Answers

Answer:

x=(5+√73)/2 or x=(5-√73)/2

Step-by-step explanation:

a=1 b=-5 c=-12

x= (-b+/-√b^2-4ac)/2a

x= (-(-5)+/-√(5)^2-4(1)(-12))/2(1)

x= (5+/-√25-4(-12))/2

x= (5+/-√25+48)/2

x= (5+/-√73)/2

x=(5+√73)/2 or x=(5-√73)/2

√: This symbol represents the square root if you get confused.

помогите пж а то мне купец я не могу решить умоляю вас​

Answers

Answer:

hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs

Simplify (4y - 3x - 2) - (7y + 4x + 3)

Answers

Answer:

-7x - 3y -5

Step-by-step explanation:

Answer:

-7x - 3y - 5

Step-by-step explanation:

In this question, you will simplify the expression given.

Solve:

(4y - 3x - 2) - (7y + 4x + 3)

Use the distributive property.

4y - 3x - 2 - 7y - 4x - 3

Combine like terms.

4y - 3x - 2 - 7y - 4x - 3

-7x + 4y - 2 - 7y - 3

-7x - 3y - 2 - 3

-7x - 3y - 5

Since we can't simplify further, your final answer would be -7x - 3y - 5

A. 25-3x=40

Answer: x =
its a neg #

Answers

minus 25 on both sides which gives -3x = 15 divide by -3 which means x =-5

Answer:

-3x= 40-25

-3x=15

x=15÷3

x=5

Fill in the blanks. This is important

Answers

in ce clasa ești tu??????

Solve 3(x + 1) + 6 = 33

Answers

Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3(x + 1) = 33 - 6[/tex]

2) Simplify 33 - 6 to 27.

[tex]3(x + 1) = 27[/tex]

3) Divide both sides by 3.

[tex]x + 1 = \frac{27}{3} [/tex]

4) Simplify 27/3 to 9.

[tex]x + 1 = 9[/tex]

5) Subtract 1 from both sides.

[tex]x = 9 - 1[/tex]

6) Simplify 9 - 1 to 8.

[tex]x = 8[/tex]

Therefor the answer is, x = 8.

Find the value of ST:

Answers

Answer:

16

Step-by-step explanation:

It's the only one which 5x + 1 can equal, with x being 3.

Hope that helps!

Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division

Answers

Saan po yung divisor?

Kailangan ko po

An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.

Part A

Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.

Part B

How many weeks will it take for the baby elephant to weigh 1197lbs?

Enter your equation, your answer, and your work or explanation in the space provided.

Answers

Answer:

Part A: W= (1197- 209)/ 38

Part B: 26 Weeks

Step-by-step explanation:

Part A:

We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take

Part B:

W= (1197- 209)/ 38

W= 988/ 38

W= 26

Solve and graph the inequality. Show all your work. Upload a picture of your work.

x + 8 > 5

Answers

Answer:

x > -3

Step-by-step explanation:

x + 8 > 5

   -8   -8

    x > -3

I hope this helped you :)

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

how much grams are in a milligram ​

Answers

there are 1000 milligrams in 1 gram

Hope this helps

What is 2/10, 2/5, and 2/20 ordered form least to greatest?

Answers

Step-by-step explanation:

2/20, 2/10 , 2/5

set them all to the same denominator of 20:

2/20, ,4/20, 8/20

Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).

Answers

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

25 points and brainliest!! look at picture below.

Answers

Answer:

the volume of the cone is 1,196.92

Step-by-step explanation:

V = 1/3 x 3.14 x r^2 x h

The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?

Answers

Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.

The answer is 7/12

Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?

Answers

Answer:

Starting number= 120

Step-by-step explanation:

Giving the following information:

After selling 65% of her lacrosse sticks, she has 42 sticks left.

To calculate the starting number of lacrosse sticks, we need to use the following formula:

Starting number= sticks left / proportion of sticks on stock

Starting number= 42 / 0.35

Starting number= 120

What’s the slope and y intercept??

Answers

Answer:

The y intercept is (0,0) and the slope is 1

Step-by-step explanation:

Its (0,0) because thats where the line crosses on the y axis.  For the slope you do rise over run, you rise once and run once to the next solid point or place.

Refer to the attachment for better understanding

Find the slope of the line that passes through (4,-5) and (-2,9)

a -2/3
b 5/3
c-7/3
d 2
Please help me ASAP

Answers

Answer:

sorry i dont know

The answer is C
Hope this helps

what's
[tex] {3}^{4} [/tex]

Answers

QUESTION:

What is the value of 3⁴

SOLUTION:

▶️ 3⁴ = 3×3×3×3

▶️ 3⁴ = 81

ANSWER:

The value of 3⁴ is 81..

Other Questions
Find the length of the missing side. Round answers to the nearest tenth itnecessary. *88 Which statement is an example of the symmetric property of congruence?A. If AKLM = APQR, then APQR = AKLM.B. If AKLM = APQR, then APQR - ASTU.X C. If AKLM = APQR, and APQR - ASTU, then AKLM - ASTU.D. AKLM = AKLM Which best summarizes the composition of the surface of Earth? NEED HELP PLEASE THIS IS DUE TODAY!!!! A. Three-fourths of Earths surface is land. B. One-fourth of Earths surface is water. C. Earths surface contains more land than water. D. Earths surface contains more water than land. true or false2. Menu Bar is a horizontal bar located at the top of a window, bearing theof the program and typically the name of the currently active document3. Image is a tool that lets you resize and skew, rotate or flip.4. Clipboard is a temporary storage area for data that the user wants to coone place to another.5. Title Bar is to supply a common housing for window-or application-specmenus which provide access to such functions as opening files, interactan application or displaying help documentations or manuals. dos numeros sumados dan como resultado 5 y el doble de uno mas el doble del otro da como resultado 15 cuales son esos numeros? please help its due!!! Solve 5x 25. Graph the solution. What is geberal formula for alkane? Inorganic, crystalline substances found naturally within earth are known as 19. In its accrual basis income statement for the year ended December 31, 2012, Nelson Company reported revenue of $3,500,000. Additional information is as follows: Accounts receivable-- Beg.December 31, 2011 ............... $ 750,000Net income for 2012 .................................. 140,000Accounts receivable--End. December 31, 2012 ............... 1,010,000Nelson should report cash collected from customers in its 2012 statement of cash flows (direct method) in the amount ofa. $3,240,000.b. $3,100,000.c. $3,380,000.d. $3,760,000.____ 20. Stiggins Corporation had the following account balances for 2012: December 31 January 1Accounts Payable ...................... $67,200 $58,200Prepaid Rent Expense .................. 24,600 37,200Accounts Receivable (net) ............. 84,000 66,600Stiggins' 2012 net income is $450,000. What amount should Stiggins include as net cash provided by operating activities in its 2012 statement of cash flows?a. $436,200b. $445,200c. $453,600d. $454,200 The first African indentured servants often bonded with _____.Select the best answer from the choices provided.A. enslaved AfricansB. their enslaversC. European indentured servantsD. Native Americans Read Zion National Park:In 1917, Horace Albright visited the canyon created by the Virgin River in southwestern Utah. He was amazed at the beauty of the colorful cliffs. Albright determined that this national monument would become a popular tourist destination. The official name of the monument at that time was Mukuntuweap National Monument. It had been named in honor of the Paiutes who lived in the region. Albright thought that the name was difficult to pronounce and proposed a name change. President Woodrow Wilson renamed the monument Zion National Monument, which became Zion National Park in 1919. The number of people visiting the park increased from approximately 300 in 1914 to 1,814 people in 1919.Zion National Park is known for its many hiking trails. The shortest trail leads to one of the popular destinations: Weeping Rock, a cliff face with a hanging garden. Over the years, water made its way through the Navajo sandstone of the cliff, traveling through pores and creating canyons. Eventually, the water encountered a layer of rock that was impermeable. The water was unable to continue down, so it traveled horizontally. At Weeping Rock, the water comes through the pores of the sandstone. The amount of water that flows out of the rock can be a trickle or a stream, giving the impression that the rock is crying. Vegetation grows in shaded areas of the cliff with water coming through the rock. As the plants grow out of the rock face, they give the illusion that they are hanging in the air.In the last century, word spread of Zion National Park's many natural treasures, like the Weeping Rock. Roads, trails, and visitor centers were built. More people traveled to Zion in order to hike, horseback ride, and go canyoneering. The Zion-Mount Carmel Tunnel was constructed by 1930. Visitors still use the tunnel to travel from Zion to the Grand Canyon or Bryce Canyon. Now, park rangers are facing problems created by having too many visitors. Trails and campgrounds are overused and need repairs. Visitors are straying off the trails to create their own, thereby damaging the vegetation. Rangers are considering the best ways to protect this national park and maintain its beauty for future generations.How did the improvements made to the park create new and unexpected problems? 1. The many improvements made to the park included the Zion-Mount Carmel Tunnel, which allowed people who did not value nature to visit the park. As a result, people in the area started visiting other national parks more than coming to Zion.2. The many improvements made to the park increased the size of the facilities, allowing more people to hold special events at Zion National Park. As a result, more damage was done to the landscape by irresponsible visitors to the events at the park.3. The many improvements made to the park made it easier to access the area and provided more recreation opportunities. As a result, the park's popularity increased, leading to huge numbers of visitors and the problems that come with them.4. The many improvements made to the park made it necessary to start charging money for admission. Since people thought that the park was exclusive. More people wanted to come, so they could take pictures with the hanging gardens. In your own words, describe innovation. Now molecules: Choose... molecules of H 2 + Choose... molecules of O 2 Choose... molecules of H 2 O I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after that I will receive $50 more than I received the previous week. How much money will I receive over the course of the 52 Weeks?25 Points. Which statement correctly describes a parliamentary democracy?A.A democracy in which the executive creates and enforces laws.B.A democracy in which the executive creates laws and the legislature enforces the laws.C.A democracy in which the legislature creates and enforces laws.D.A democracy in which the legislature creates laws and the executive enforces the laws. Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D? help i really need help and im confused Which statement is true about the fossil record? A. The fossil record shows that organisms have changed very little over time. B. The fossil record is inconsistent with the scientific theory of evolution. C. The fossil record is very limited and offers little knowledge about the history of life. D. The fossil record shows how different groups of organisms have changed over time. para que sirve tener derechos