Using Laplace Transforms Method, solve the following Differential Equations 1. y' = 2et with y(0) = - 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using Laplace Transforms Method, solve the following Differential Equations
1. y' = 2e'
with y(0) = - 1
2. у'— у %3еt
with y(0) = 1
d²x
3.
dt2
dx
2 + x = e'
dx
with x(0) = 2, (0) = -1
dt
Transcribed Image Text:Using Laplace Transforms Method, solve the following Differential Equations 1. y' = 2e' with y(0) = - 1 2. у'— у %3еt with y(0) = 1 d²x 3. dt2 dx 2 + x = e' dx with x(0) = 2, (0) = -1 dt
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