Use the substitution $t=ln(x)$ to transform the given Cauchy$-$Euler equation to a differential equation with constant coefficients. $($Use $yp$ for $\frac{dy}{dt}$ and $ypp$ for $\frac{d^{2}y}{d{t}^2}.)$

$x^2{y}^{\text{'}\text{'}}-10x{y}^{\text{'}}+30y=ln(x^2)$

$$

Solve the original equation by solving the new equation using the procedure in Sections $4\mathrm{.}3-4\mathrm{.}5.$

$y(x)=,x>0$