The DE is...

(1)

... so that it contains only and . The approach for solving such type of equation is the substitution...

(2)

... so that (1) becomes...

(3)

The (3) is a separated variables first order ODE the solution of which is...

(4)

The (4) is a separable variables first order ODE again the solution of which is...

(5)

Now the solution of the integral in (5) requires a little more effort ...

Kind regards