Solving the equation dy / DX + 2XY = 4x ...

Solving the equation dy / DX + 2XY = 4x ...

Separation, dy / (2-y) = 2x DX, D (2-y) = - Dy, so - D (2-y) / (2-y) = 2x DX, integral on both sides, have - ln | 2-y | = x ^ 2 + C > = 0, so ln | 2-y | = 0, y = 1 or 3, x = 0, C = 0