Use the Laplace transform to solve the given system of differential equations. dx = 4y + et dt dy = 9x - t dt x(0) = 1, y(0) = 1 x(t) y(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the Laplace transform to solve the given system of differential equations.
dx
=
4y + et
dt
dy
= 9x - t
dt
x(0) = 1, y(0) = 1
x(t)
y(t)
=
Transcribed Image Text:Use the Laplace transform to solve the given system of differential equations. dx = 4y + et dt dy = 9x - t dt x(0) = 1, y(0) = 1 x(t) y(t) =
Use the Laplace transform to solve the given system of differential equations.
dx
dy
+ 8x +
= 1
dt
dt
dx
X +
dy
dt
y = et
dt
x(0) = 0, y(0) = 0
x(t)
y(t)
1
Transcribed Image Text:Use the Laplace transform to solve the given system of differential equations. dx dy + 8x + = 1 dt dt dx X + dy dt y = et dt x(0) = 0, y(0) = 0 x(t) y(t) 1
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