Hello, kingkaisai2!

These are allseparable. . .

We have: .

We have: . 1 + \ln x)\,dx" alt="e^y\frac{dy}{dx} \:=\:1 + \ln x\quad\Rightarrow\quad e^y\,dy \:=\1 + \ln x)\,dx" />

We have: .

Factor: .

And the rest is "only Calculus" . . .LOL!