1. Solve using the Laplace transform: y" - 3y' = sin(2t), y(0) = 1, y'(0) = 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Solve using the Laplace transform: y" - 3y' = sin(2t), y(0) = 1, y'(0) = 2.
0 anx" (find the recurr
2. Find the solution in the form of the power series y(x) =
for the coefficients): y" = (1 + x)y, y(0) = 1, y'(0) = 2.
3. Find the Laplace transform of the following functions:
Transcribed Image Text:1. Solve using the Laplace transform: y" - 3y' = sin(2t), y(0) = 1, y'(0) = 2. 0 anx" (find the recurr 2. Find the solution in the form of the power series y(x) = for the coefficients): y" = (1 + x)y, y(0) = 1, y'(0) = 2. 3. Find the Laplace transform of the following functions:
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