(a) Find the solution of the ordinary differential equation @_ my+3my3 dm_ my2ml4y-8 subject to the initial condition 9(0) = 1- Write the nal...

Find the solution of the ordinary differential equation dy dx = xy + 3x − y − 3 xy − 2x + 4y − 8 subject to the initial condition y(0) = 1. Write the final solution in implicit form f(x, y) = 0. (b) Find the solution of the ordinary differential equation x dy dx = x 4 sin(x) + 2y subject to the boundary condition y π 2 = 1. Write the final solution in explicit form y = f(x).

2. (a) Find the solution of the ordinary differential equation @_ my+3m—y—3dm_ my—2m—l—4y-8 subject to the initial condition 9(0) = 1- Write the final solution in implicit form f (3:, y) = 0.(b) Find the solution of the ordinary differential equation d55% = 2:4 sin(:r) + 2y subject to the boundary condition yea Write the final solution in explicit form y = f (11:)