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Take the Laplace transform of the following initial value problem and solve for Y (s) = C{y(t)}: y" + 4y +18y=T(t) y(0) = 0, / (0) = 0 where is a periodic function defined by 0 0.

Take the Laplace transform of the following initial value problem and solve for Y (s) = C{y(t)}: y" + 4y +18y=T(t) y(0) = 0, / (0) = 0 where is a periodic function defined by 0 0.

Calculus For The Life Sciences
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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 32E
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Take the Laplace transform of the following initial value problem and solve for Y (s) = C{y(t)}: y" + 4y +18y= T(t) y(0) = 0, / (0) = 0 where is a periodic function defined by 0<t<1/2 T(t) -{1-.. and T(t+1)= T(t) for all t > 0. -t, 1/2 <t<1' Y(s) = Graph of 7() (a triangular wave function):
Transcribed Image Text:Take the Laplace transform of the following initial value problem and solve for Y (s) = C{y(t)}: y" + 4y +18y= T(t) y(0) = 0, / (0) = 0 where is a periodic function defined by 0<t<1/2 T(t) -{1-.. and T(t+1)= T(t) for all t > 0. -t, 1/2 <t<1' Y(s) = Graph of 7() (a triangular wave function):
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