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

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..

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

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).

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.

(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!

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.

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

Answers

Saan po yung divisor?

Kailangan ko po

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!

Fill in the blanks. This is important

Answers

in ce clasa ești tu??????

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

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.

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

twice the sum of j and 4

Answers

Answer:

J+4*2

Step-by-step explanation:

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

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


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

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

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

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

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.

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

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

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 :)

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

how much grams are in a milligram ​

Answers

there are 1000 milligrams in 1 gram

Hope this helps

Please help. Mathematics.

Answers

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

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

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

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

Answers

Answer:

hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs

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