Consider the following initial value problem: 3t, 04 y(0) = 0, y'(0) = 0 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) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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Consider the following initial value problem:
3t,
0<t≤4
y" +49y=
12,
t>4
y(0) = 0, y'(0) = 0
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: 3t, 0<t≤4 y" +49y= 12, t>4 y(0) = 0, y'(0) = 0 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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