Consider the IVP: y" + 9y = 40ex; y(0) = 5, y'(0) = -2. Find the general solution. A y(x) = 4e*+ cos3x – 2sin3x B y (x) = 2e"+ cos3x – 4sin3.x %3D y (x) = 4e*+cos2x – 2sin2x D y (x) = 40e*+2cos3x - 2sin3x

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 12CR
icon
Related questions
Question
Question 5
Consider the IVP:
y" + 9y = 40e* ; y(0) = 5, y'(0) = -2.
Find the general solution.
A
y (x) = 4e*+ cos3x - 2sin3x
B
y (x) = 2e*+ cos3x – 4sin3x
y (x) = 4e*+ cos2x – 2sin2x
D
y (x) = 40e*+2cos3x – 2sin3x
Transcribed Image Text:Question 5 Consider the IVP: y" + 9y = 40e* ; y(0) = 5, y'(0) = -2. Find the general solution. A y (x) = 4e*+ cos3x - 2sin3x B y (x) = 2e*+ cos3x – 4sin3x y (x) = 4e*+ cos2x – 2sin2x D y (x) = 40e*+2cos3x – 2sin3x
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,