(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(b) Find the differential equation for which –4xy^{3}+ 4xy^{3}sin(x) = –1 is an implicit solution on the interval (0, pi/2). Write your answer in the form dy/dx = f (x,y) where f (x, y) depends on both x and y.

3. The attempt at a solution

I'm not too sure on how to go about solving for the differential equation after been given the implicit form. So farI got

dy/dx= cos(x)-4/(-3y^{3})

which I dont think is right, and

I'm not sure where to start?

(4xy^{3})(sin(x)-1)=-1

4y^{3}=-1/[x(sin(x)-1]

and then do I take the derivative of this ^ to get my answer?

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# Differential Equations, implicit equation solving

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