Using Laplace Transforms Method, solve the following Differential Equations 1. y' = 2e with y(0) 1 = - 2. y' – y = e-t with y(0) = 1 d²x dx 2 dt + x = et with x(0) = 2, (0) = -1 3. - dt2 dt
Using Laplace Transforms Method, solve the following Differential Equations 1. y' = 2e with y(0) 1 = - 2. y' – y = e-t with y(0) = 1 d²x dx 2 dt + x = et with x(0) = 2, (0) = -1 3. - dt2 dt
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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Transcribed Image Text:Using Laplace Transforms Method, solve the following Differential Equations
1. y' = 2e
with y(0)
1
= -
2. y' - y = e-t
with y(0) = 1
d²x
dx
- 2
dt
+ x = e'
with x(0) = 2, (0) = -1
3.
dt2
dt
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