Consider the following initial value problem: y" – 4y' – 21y = sin(5t) y(0) = -4, y'(0) = 3 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following initial value problem:
y" – 4y' – 21y = sin(5t)
y(0) = -4, y'(0) = 3
Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)},
find the equation you get by taking the Laplace transform of the differential equation and solve for
Y(s) =
Transcribed Image Text:Consider the following initial value problem: y" – 4y' – 21y = sin(5t) y(0) = -4, y'(0) = 3 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) =
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