Solved: In 1 and 2 verify that y1 and y2 are solutions of

Chapter 4, Problem 1E

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In Problems 1 and 2 verify that \(y_{1}\) and \(y_{2}\) are solutions of the given differential equation but that \(y=c_{1} y_{1}+c_{2} y_{2}\) is, in general, not a solution.

\(\left(y^{\prime \prime}\right)^{2}=y^{2} ; \quad y_{1}=e^{x}, y_{2}=\cos x\)

Text Transcription:

y_1

y_2

y=c_1y_1+c_2y_2

y^prime^2=y^2};y_1=e^x,y_2=cosx

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