See answer: Using the Laplace transform and showing the details, find the current i(t)
Chapter 6, Problem 6.1.130(choose chapter or problem)
Using the Laplace transform and showing the details, solve:
\(y^{\prime \prime}+y^{\prime}-2 y=r(t), r(t)=3 \sin t-\cos t\) if \(0<t<2 \pi\) and \(3 \sin 2 t-\cos 2 t \text { if } t>2 \pi ; y(0)=1, \quad y^{\prime}(0)=0\)
Text Transcription:
y’’+y’-2y=r(t), r(t)=3 sin t - cos t
0<t<2 pi
3 sin 2t - cos 2t if t>2 pi; y(0)=1, y’(0)=0
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