Answered: Find the general solution to the…

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

Problem 1RQ

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Question

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)

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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