Question

y=2px-p² .solve the equation by non linear differential equation method in solvable x​

Answer 1

Answer:

Reduce the following differential equation to Clairaut’s form by using the substitution and hence solve:

y=2px+p2y2 where p=dydx

I used y2=v then I get

v−2p1x+(xp1)2v=(p12)4 where p1=dvdx

so this is not useful to reduce to Clairaut's form,

please give me a hint to solve this or give me a suitable substitution

Thank you.