Solve differential equation and sketch the solution curves:

                                                                                                                   

General solution:

       

                               

 

                                  are suppressed solutions

 

                                                                > restart;

                                                                > with(plots):

                                                                > f:={seq(exp(x)*sin(y)^2+y*cos(y)-                                                      sin(y)=c/2,c=-10..10),y=Pi,y=2*Pi,y=-Pi,y=-2*Pi}:

                                                                > implicitplot(f,x=-3..4,y=-2*Pi..2*Pi,numpoints=5000);