I have the differential equation (1-x^2)y' = 1 - y^2.
Using partial fractions and exponentials, i now have the equation in the following form:
sqrt(1+y)/sqrt(1-y) = A(sqrt(1+x)/sqrt(1-x))
I am not sure if i have simplified this enough, as the square roots are causing me problems.
Also i am not sure if I have used the right method. I have used seperation, but I'm not sure if i could have used a homogeneous equation method.
Any thoughts or comments would be appreciated.