dy/dx-y/x=x^2 Ask for detailed solution steps

dy/dx-y/x=x^2 Ask for detailed solution steps

This is the first order ordinary differential equation 1, the general solution part dy / dx-y / x = 0dy / y = DX / x, the two side integral LNY = LNX + CY = CX2, the special solution y = x * m (x) dy / DX = m (x) + X * m '(x) dy / dx-y / x = 2x ^ 2m (x) + X * m' (x) - M (x) = 2x ^ 2m '(x) = 2XM (x) = x ^ 2 + C, the final solution y = x (x ^ 2 + C) = x ^ 3 + CX can solve your question