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## haganmc 2 years ago solve the diff equation. (y^-1)dy + (y*e^cos(x))*(sin(x))dx

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1. Herp_Derp

Equals zero?

2. haganmc

yes ... =0

3. Herp_Derp

Thanks

4. EulerGroupie

It looks separable to me.

5. haganmc

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

6. Herp_Derp

Yes.

7. haganmc

i cannot figure out how to solve for y

8. Herp_Derp

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. Herp_Derp

Does that make sense?

10. haganmc

but it is y^-1

11. Herp_Derp

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. haganmc

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

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