In 1–19, use the method of Laplace transforms
Chapter 7, Problem 16E(choose chapter or problem)
In Problems 1–19, use the method of Laplace transforms to solve the given initial value problem. Here x’,y’,etc., denotes differentiation with respect to t; so does the symbol D.
\(x^{\prime}-2 x+y^{\prime}=-(\cos t+4 \sin t)\); \(x(\pi)=0\)
\(2 x+y^{\prime}+y=\sin t+3 c o s t\); \(y(\pi)=3\)
Equation transcription:
Text transcription:
x^{\prime}-2 x+y^{prime}=-(cos t+4 sin t)
x(\pi)=0
2 x+y^{prime}+y=\sin t+3 c o s t
y(\pi)=3
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