Chapter 4.3, Problem 65P

In each of Problems $62$ through $65$, find the solution of the given initial value problem. Plot the graph of the solution and describe how the solution behaves as $x\to 0$.

$x^2{y}^{″}+3x{y}^{\prime }+5y=0,$ $y\left(1\right)=1,$ $y^{\prime }\left(1\right)=-1$