Find the general solution to the following differential equations and determine how the solution y(t) behaves as t goes to infinity: 1. t * dy/dt + 2y = sin(t) 2. t * dy/dt -y = t^2 * e^(-t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the general solution to the following differential equations and determine how the solution y(t) behaves as t goes to infinity:

1. t * dy/dt + 2y = sin(t)

2. t * dy/dt -y = t^2 * e^(-t)

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