Question

solve the diff equation.

(y^-1)dy + (y*e^cos(x))*(sin(x))dx

Answer 1

Equals zero?

Answer 2

yes ... =0

Answer 3

Thanks

Answer 4

It looks separable to me.

Answer 5

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

Answer 6

Yes.

Answer 7

i cannot figure out how to solve for y

Answer 8

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

Answer 9

Does that make sense?

Answer 10

but it is y^-1

Answer 11

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:\[y=\frac{1}{C-e^{\cos(x)}}\]

Answer 12

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