Solve dy/dx = y/(2y-x) using rational substitution (using v=y/x) with the initial condition y(0)=1.

Question

I solved this problem and found C (the constant) to be undefined. That is not the correct answer.

Answer 1

(2y -x) dy = y dx

2 y dy - x dy = y dx

2 y dy = x dy + y dx

y^2 = x y + c

when x = 0
y^2 = c = 1

y^2 = x y + 1