Dede8553 Dede8553

15-04-2020
Mathematics

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Solve the following initial value problem. StartFraction d squared s Over dt squared EndFraction d2s dt2equals=negative 16 Bold sine (4 t minus StartFraction pi Over 2 EndFraction )−16sin4t− π 2, s prime (0 )equals 500s′(0)=500, s(0)equals=0

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abidemiokin abidemiokin

20-04-2020

Answer:

Step-by-step explanation:

Given the initial value problem

d²S/dt² = -16sin4t-π/2 if s(0) = 0, s'(0) = 500

We will integrate the given differential equation twice and substitute the initial values into our resulting answer as shown on the attachment.

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