Differential equation

Dec 2015
1,078
166
Earth
\(\displaystyle y’=\frac{ay+bx}{cy+dx }\).
 
Dec 2015
1,078
166
Earth
My approach: \(\displaystyle y=xs \; \) , \(\displaystyle (xs)’=\frac{as+b}{cs+d}\).

\(\displaystyle xs’ =\frac{as+b}{cs+d }-s\) or \(\displaystyle \int dx/x=\int [\frac{as+b}{cs+d }-s]^{-1}ds\).
 

v8archie

Math Team
Dec 2013
7,710
2,679
Colombia
It's a standard homogeneous form. You solution is standard.
 
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