[See Solution] The indicated function y_1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second
Question: The indicated function \(y_{1}(x)\) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution \(y_{2}(x)\) of the homogeneous equation and a particular solution of the given nonhomogeneous equation.
\(y^{\prime \prime}-4 y^{\prime}+3 y=x ; \quad y_{1}=e^{x}\)
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