I'm trying to solve y'=-sqrt(|xy|).
Not too sure on how to handle the absolute value signs.
I've tried solving for +/-x and +/-y, but i couldn't find the constants because it involved negative square roots.
Any ideas?
Thanks
I tried doing that. For example y'=-sqrt(-xy)
dx/sqrt(-x)=-sqrt(y)dy
2x/sqrt(-x)+c=2.sqrt(y).y/3
now say it is given that x(0)=1, c=sqrt(-1)/2(-1). I wouldn't be able to work out the constant here?
Or does it simply mean that i do not need to solve for
dx/sqrt(-x)=-sqrt(y)dy
and only need to solve for
dx/sqrt(x)=-sqrt(-y)dy?
Thanks