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## Homework Statement

Solve (x+y-1)dx+(y-x-5)dy=0

## Homework Equations

## The Attempt at a Solution

x=u+h

y=v+k

Therefore

h=-2 and k=3

Therefore

(u+v)du+(v-u)dv=0

[itex]\frac{dv}{du}[/itex]=[itex]\frac{u+v}{u-v}[/itex]

This is where I'm stuck. I can't solve the equation above. I have a feeling I need to rearrange so that I have a function of [itex]\frac{v}{u}[/itex] on the right hand side, but I am unable to rearrange it to attain this.

Any suggestions?

Thank-you