Question: In Problems 63 and 64 use a CAS to compute all derivatives and to carry out the simplifications needed to verify that the indicated function

In Problems 63 and 64 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.

y⁽⁴⁾ −20y''' + 158y'' − 580y' + 841y = 0;

y = xe^5xcos 2x

x³y''' + 2x²y'' + 20xy' – 78y = 0:

y = 20 cos (5 In x) / x – 3 sin (5 In x) / x

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