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for this O.D.E. :
y`= (x^2 + y^2)/xy
it's unseparable, so what other methods can there be taken?
y`= (x^2 + y^2)/xy
it's unseparable, so what other methods can there be taken?
Whoopsie, you've forgot a factor 1/2 on the left side.asdf1 said:here's my work:
y`=x/y +x/y
suppose y=vx
=>v=y/x
=> y`=v+xv`
so v+xv`=1/v+v
=> vdv=dx/x
=> v^2=ln[absolute value(x)]+c`