Correct answer is B....................................but please explain it how ? Pic of question is attached

Hi there.. it is direct Clairaut from of DE.. which is equal to y=px +f(p) where p is equal to dy/dx.. here f(p) = 1/p .. for solving it take derivative both side wrt x and again write dy/dc which will come on left side as p... Hope you got it..

Hi bro.. To further make the other part simplify we can write (dy/dx)²= 1/x or dy/dx=1/√x.. Take dx the other side .. it will be dy=dx/√x.. Now integrate both side we get y=2√x +c or x=y²/4 +C.. which is a equation of parabola.. I hope it should not be a problem now.. Thanks So much that you like the other part.

Approved