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(Solved): Solve the given initial-value problem. \[ x^{2} y^{\prime \prime}+3 x y^{\prime}=0, \quad y(1)=0, y ...
![Solve the given initial-value problem.
\[
x^{2} y^{\prime \prime}+3 x y^{\prime}=0, \quad y(1)=0, y^{\prime}(1)=2
\]
\( y(x)=](https://media.cheggcdn.com/study/e45/e4519805-7092-4cf1-b5ee-92e991d160d4/image)
Solve the given initial-value problem. \[ x^{2} y^{\prime \prime}+3 x y^{\prime}=0, \quad y(1)=0, y^{\prime}(1)=2 \] \( y(x)= \) ,\( x>0 \) Use a graphing utility to graph the solution curve.
Expert Answer
we have , let z=log?x Then, x2y?+3xy?=0 Auxiliary