- #1

Saladsamurai

- 3,020

- 7

## Homework Statement

Find implicit and explicit solution for

[tex]x^2\frac{dy}{dx}=y-xy[/tex] when y(-1)=-1

So far I have:

[tex]\frac{(1-x)}{x^2}dx=dy/y[/tex]

[tex]\Rightarrow x^{-2}(1-x)dx=\ln y+C[/tex]

[tex]\Rightarrow (x^{-2)-x^{-1})dx=\ln y+C[/tex]

[tex]\Rightarrow -\frac{1}{x}-\ln x=\ln y+C[/tex]

With the initial values, (-1,-1) are outside of the domain. What gives? My integration looks good to me. What am I missing?

Thanks,

Casey