Draw the direction field for the following differential equation and draw several solution curves.

Question

I have been able to complete A, B, D, and E. I am struggling to finish C. I thought it was -1 but it is not.

Draw the direction field for the following differential equation and draw several solution curves.

dy/dx = sin(x)sin(y)

At what value x on the interval [2,4] is the slope of each of the solution curves equal to 0? 

Answer 1

dy/dx=0 when x=π which is in interval specified.