In 59 and 60 use a CAS to compute all derivatives and to

Chapter 1, Problem 60E

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In Problems 59 and 60 use a CAS to compute all derivatives and to carry out the simplifications needed to verify that the indicated function is a particular solution of the given differential equation.

\(x^{3} y^{\prime \prime \prime}+2 x^{2} y^{\prime \prime}+20 x y^{\prime}-78 y=0\) ;    \(y=20 \frac{\cos (5 \ln x)}{x}-3 \frac{\sin (5 \ln x)}{x}\)

Text Transcription:

x^3 y^prime prime prime + 2x^2 y^prime prime + 20xy^prime - 78y = 0

y=20 cos (5 ln x)/x-3 sin (5 ln x)/x

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