Question: The indicated function $y_{1} (x)$ is a solution of the given differential equation. $$ x y^{prime prime}+y^{prime}=0 ; quad y_{1}=In (x) $$ Use reduction of

The indicated function $y_{1} (x)$ is a solution of the given differential equation. $$ x y^{\prime prime}+y^{\prime}=0 ; \quad y_{1}=\In (x) $$ Use reduction of order or formula $(5)$ in Section $4.2$, as instructed. $$ y_{2}=y_{1}x) \int \frac{e^{-\int P(x) d x}}{y_{1}^{2} (x)} d x $$ Find the integrating factor. $$ e^{-\int P(x) d x)= $$ Find a second solution $y_{2} (x)$. $$ Y_{2}= $$ SP.SD. 329
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