Question

separable by homogenuous equation
dy/dx=(x+2y)/(3y-2x)
ijust could solve until this
xdv/dx=1+4V-3v^2/3v-2...
can anyone comtinue to solve this???

Answer 1

Um, you could use substitution for this method.

Answer 2

\[x\frac{ dv }{ dx }+v = \frac{ x+2xv }{ -2x+3xv } \Rightarrow xv'+v=\frac{ x+2xv }{ -2x+3xv }\]

Answer 3

\[\frac{ dv }{ dx }= \frac{ -3v^2+4v+1 }{ x(3v-2) }\]

Answer 4

Now is seperable.