# Solution of Ordinary Differential equation

I am a bit stuck with this one.

$y' = \displaystyle \frac{ax + by}{cx+dy}$ under the assumption that $ad \neq cb$

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## 1 Answer

Hint: Substitute $y/x=v$

$y'=xv'+v$

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How does one proceed from this point though? I have been trying this for some time but cannot do it. –  user44069 Jan 15 '13 at 9:15
Bring v to the other side and separate variables. –  Ishan Banerjee Jan 15 '13 at 9:29
Yep, got it! Thanks! –  user44069 Jan 15 '13 at 9:30
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