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25. Find the general solution of the equation dy dt (This equation is linear, but please use the method of Laplace transforms.) = 2y + 2e-3t.

25. Find the general solution of the equation dy dt (This equation is linear, but please use the method of Laplace transforms.) = 2y + 2e-3t.

Advanced Engineering Mathematics
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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dt 25. Find the general solution of the equation dy dt dt = 2y + 2e-3t. (This equation is linear, but please use the method of Laplace transforms.) 26. Suppose g(t) = f f(t) dt; that is, g(t) is the antiderivative of f(t). Express the Laplace transform of g(t) in terms of the Laplace transform of f(t).
Transcribed Image Text:dt 25. Find the general solution of the equation dy dt dt = 2y + 2e-3t. (This equation is linear, but please use the method of Laplace transforms.) 26. Suppose g(t) = f f(t) dt; that is, g(t) is the antiderivative of f(t). Express the Laplace transform of g(t) in terms of the Laplace transform of f(t).
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