well then: the plot of y(x) vs x will be an arcsine shape.
Are you having trouble solving for y?
(If so - make sin(xy) the subject and take the arcsine of both sides.)
... which kinda restricts allowed values of x doesn't it.
What you need are turning points, intercepts, and asymptotes - how would you normally find them?
note: this sort of function tends to come up in the context of integrating factors.
