Using log a – log b = log

Put y = vx

Differentiate vx with respect to x using product rule

Integrate

Substitute log v = t

Differentiate with respect to v which means

⇒ log t = log x + log c

Resubstitute value of t

⇒ log(log v) = log x + log c

Resubstitute v

Hence solution of given differential equation is