Solve the differential equation dy dx equals the quotient of y squared and x cubed for y = f(x) with the condition y(1) = 1.

Question

Solve the differential equation  for y = f(x) with the condition y(1) = 1.

Answer 1

dy/y² = dx/x³

y³/3 = x⁴/4 + C

1/3 = 1/4 + C => C = 1/12