Find a set of solutions to the following differential equations . 1. ( 1 - 3x ) ydx = 3x2 e3x dx - xdy 2. ( 1 + cos x ) y' = sin x ( sin x + sin x Cos x - y ) 3. ( 2x + 3 ) dy = [ y + ( 2x + 3 )1/2] dx ; when x = - 1 , y = 0 4. vax + ( 2x - vx + 1 ) dv = 0 5. dy = ( csc x - ycot x ) dx 6. 2ydx = (x2 - 1 ) ( dx - dy ) 7. ( x5 + 3y ) dx - xdy = 0 8. dy = ( x3 - 2xy) dx ; when x = 1 , y = 1 9. y' = x - 2yCot 2x 10. Find that solution of y' = 2(2x - y ) which passes through the point (0, -1) "Successful and unsuccessful people do not vary greatly in their abilities. They vary in their desires to reach their potential." - John Maxwell