Using the Laplace transform and showing
Chapter 6, Problem 6.1.129(choose chapter or problem)
Using the Laplace transform and showing the details, solve:
\(y^{\prime \prime}-16 y=r(t), \quad r(t)=48 e^{2 t}\) if 0 < t < 4 and \(0 \text { if } t>4; \quad y(0)=3 , \quad y^{\prime}(0)=-4\)
Text Transcription:
y’’-16y=r(t), r(t)=48e^2t
0 if t > 4; y(0)=3, y’(0)=-4
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