In: Advanced Math
Check if each of the following ODEs is an exact. If it is not an exact find an integrating factor to make it an exact. Then solve each of the following ODEs.
(e) dx + (x/y−siny)dy = 0
(f) ydx + (2x−yey)dy = 0
(g) (3x2y + 2xy + y3)dx + (x2 +
y2)dy = 0