Find a set of solutions to the following differential equations . 1. (x - y ) ( 4x + y ) dx + x( 5x - y ) dy =0 2. ( x - ylny +yinx ) dx + x( Iny - Inx ) dy =0 3. ( x - y ) dx + ( 3x + y ) dy =0; when x = 3, y = - 2 4. xy dx - ( x2 + 3y? ) dy = 0 5. x2 y' = 4x2 + 7xy + 2y? 6. ( x - Zy ) dx + ( 2x + y ) dy =0 7. yz dy = x(xdy - ydx) ex/v 8. y'dx + ( x2 + 3xy + 4y? ) dy =0; when x = 1, y= 1 9. [ x Csc ( y/x ) - y ] dx + xdy = 0 10. ( 3x2 - 2xy + 3y? ) dx = 4xydy "Ninety-nine percent of the failures come from people who have the habit of excuses." - George Washington Carver