Use the method for solving Bernoulli equations to solve the following differential equation.

$\frac{dy}{dx}+\frac{y}{x}=5x^4{y}^2$

Ignoring lost solutions, if any, the general solution is $y=$

$($Type an expression using $x$ as the variable. Do not use $d,D,e,E,i,$ or I as arbitrary constants since these letters already have defined meanings.$)$