## anonymous 4 years ago solve the diff equation. (y^-1)dy + (y*e^cos(x))*(sin(x))dx

1. anonymous

Equals zero?

2. anonymous

yes ... =0

3. anonymous

Thanks

4. anonymous

It looks separable to me.

5. anonymous

i got it to $- e ^{\cos(x)} = y^{-1} +C$ is this correct first off?

6. anonymous

Yes.

7. anonymous

i cannot figure out how to solve for y

8. anonymous

Put the arbitrary constant on the other side. It is arbitrary, so it doesn't matter which side of the equation it is on.

9. anonymous

Does that make sense?

10. anonymous

but it is y^-1

11. anonymous

Well, if we have$y^{-1}=C-e^{\cos(x)}$We can simply take the reciprocal of both sides, provided that it doesn't equal zero:$y=\frac{1}{C-e^{\cos(x)}}$

12. anonymous

alright thanks that's the answer.. couldn't figure out how to change it but it makes sense