Differential equation

For each of the following, obtain a particular solution satisfying the initial condition indicated. 1. 2y dx = 3x dy when x =2, y = 3 2. 2x ( y + 1) dx - y dy = 0 when x = 0, y = -2For each of the following, obtain the general solution. 1. xy dx - (x2 + 3x2) dy = 0 2. (x2 + y? ) dx + xy dy = 0Test each of the following equations for exactness and solve the equation. 1. (2xy - 3 x2 ) dx - (x2 + y) dy = 0 2. (x - 2y) dx + 2(y - x) dy = 0 3.3x (xy - 2) dx + (x3 + 2y) dy = 0 4. (2x3 - xy2 - 2y + 3) dx - (x2y + 2x) dy = 0