Solved: (a) Given that y sin x is a solution of y(4) 2y 11y 2y 10y 0, find the general
Chapter 3, Problem 30(choose chapter or problem)
(a) Given that y = sin x is a solution of \(y^{(4)}+2 y^{\prime \prime \prime}+11 y^{\prime \prime}+2 y^{\prime}+10 y=0\), find the general solution of the DE without the aid of a calculator or a computer
(b) Find a linear second-order differential equation with constant coefficients for which \(y_{1}=1\) and \(y_{2}=e^{-x}\) are solutions of the associated homogeneous equation and \(y_{n}=\frac{1}{2} x^{2}-x\) is a particular solution of the nonhomogeneous equation.
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