Need to be solve q3 Only Goal: Solve the differential equation y'- 4y = - 16 cos(2z) – 8 sin(2x).|1. Find the complementary solution yc =Ye(æ).a. What is the characteristic equation? For this part only, enter your answer asan equation in the variable m. (An equation has an equal sign in it.)b. What are the roots of the characteristic equation? If you have more than oneroot, use a comma to separate them.c. What is the complementary solution? (Use the uppercase letters C and D foryour arbitrary constants.)Yc =2. Find a particular solution yp =Yp(x).a. What is an appropriate guess or trial function for the particular solution?Enter a function in terms of a with the undetermined coefficients A and B.(Use the uppercase letters A and B within your response.)Ypb. What are the numerical values of the coefficients A and B?A =c. Having found the values of the coefficients A and B, a particular solution isYp =3. Find the general solution Y= Yc + Yp to the differential equation. Use theuppercase letters C and D for your arbitrary constants.y =

Answered: Image /qna-images/answer/14cef455-d317-4c61-b625-f2b0ff156705.jpg

Answered: 3. Find the general solution y = Yc +…

3. Find the general solution y = Yc + Yp to the differential equation. Use the uppercase letters C and D for your arbitrary constants. %3D y =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 1CR

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Question

Need to be solve q3 Only

Goal: Solve the differential equation y'- 4y = - 16 cos(2z) – 8 sin(2x).
|
1. Find the complementary solution yc =
Ye(æ).
a. What is the characteristic equation? For this part only, enter your answer as
an equation in the variable m. (An equation has an equal sign in it.)
b. What are the roots of the characteristic equation? If you have more than one
root, use a comma to separate them.
c. What is the complementary solution? (Use the uppercase letters C and D for
your arbitrary constants.)
Yc =
2. Find a particular solution yp =
Yp(x).
a. What is an appropriate guess or trial function for the particular solution?
Enter a function in terms of a with the undetermined coefficients A and B.
(Use the uppercase letters A and B within your response.)
Yp
b. What are the numerical values of the coefficients A and B?
A =
c. Having found the values of the coefficients A and B, a particular solution is
Yp =
3. Find the general solution Y
= Yc + Yp to the differential equation. Use the
uppercase letters C and D for your arbitrary constants.
y =

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