Given the differential equation y"+36y= 10e-4t y(0) = 0, y'(0) = 0 ' Apply the Laplace Transform and solve for Y(s) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)} y(t) =

Given the differential equation y"+36y= 10e-4t y(0) = 0, y'(0) = 0 ' Apply the Laplace Transform and solve for Y(s) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)} y(t) =

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.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 15CR

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Question

Given the differential equation
y"+36y= 10e-4t y(0) = 0, y'(0) = 0
'
Apply the Laplace Transform and solve for Y(s) = L{y}
Y(s) =
Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)}
y(t) =

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