Solve the following non-homogeneous differential equations: 1) x"(t) + x(t) = 2 cost

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 34CR
icon
Related questions
Question

I need detailed help solving (1), please.

Solve the following non-homogeneous differential equations:
x" (t) + x(t) = 2 cos t
1)
2) y"+2y'+y = xe¯
3) x²y"-2xy +2y = x lnx (Hint: by change of variable, let x=e¹)
Transcribed Image Text:Solve the following non-homogeneous differential equations: x" (t) + x(t) = 2 cos t 1) 2) y"+2y'+y = xe¯ 3) x²y"-2xy +2y = x lnx (Hint: by change of variable, let x=e¹)
Expert Solution
trending now

Trending now

This is a popular 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,