# Representation of

x²+2xsin(xy)+1=0

## Answers and Replies

I mean what is the shape of the graph plotted for the given equation

Simon Bridge
Homework Helper
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.

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