For the given differential equation, apply the Laplace transform and solve for Y(s) = L{y}- %3D y" + y' – y = 0. y(0) = – 1, y'(0) = 2 %3D Y(s) = e^(-12)cosh((sqrt(5)t)/2}+3] * Preview

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For the given differential equation, apply the Laplace transform and solve for Y(s) = L{y}.
y" + y' – y = 0, y(0) = – 1, y'(0) = 2
Y(s) = -e^(-1/2)cosh((sqrt(5)t)/2}+3 *
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%3D
Transcribed Image Text:For the given differential equation, apply the Laplace transform and solve for Y(s) = L{y}. y" + y' – y = 0, y(0) = – 1, y'(0) = 2 Y(s) = -e^(-1/2)cosh((sqrt(5)t)/2}+3 * Preview %3D
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