Consider the following initial value problem: x" - 5x' - 14x = sin(8t), x(0) = 2, x'(0) = −1. Using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s) = 2s^(3)-11s^(2)+128s-632)/((s^(2)+64)(s^(2)-5s-14)) help (formulas)

Consider the following initial value problem: x" - 5x' - 14x = sin(8t), x(0) = 2, x'(0) = −1. Using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s) = 2s^(3)-11s^(2)+128s-632)/((s^(2)+64)(s^(2)-5s-14)) help (formulas)

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

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 5E

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