$\frac{dy}{dx}+ln(x)y=\{\begin{array}{cc}2,& 0x<mn>1</mn>\\ -2,& 1x\end{array}$

If $y(0)=4,$ set up the integral for solution on the interval $x1.$ Do not solve$/$evaluate$.$

If you use indefinite integrals, explain how you would solve for C after integrating.

Explain step by step in words on how to solve this question. Prefer $1$ sentence for each step.