Salutations, I have a problem when I approach this ODE:
$$\left(\frac{y}{y'}\right)^2+y^2=b^2\left(x-\frac{y}{y'}\right)^2$$ I have done a series of steps as I show in these document: My Procedure
But I'm not convinced that those were the correct steps neither solutions were adequated, and my question is: How would be the mathematical steps to apply to find the correct solution of the ODE?
So, I would like any guidance or starting steps or explanations to find the solution of this interesting problem.
Thanks for your attention.
thanks for your commentaries, after this time I approached the problem again and I realized I had a mistake with a sign. So, I share my proposal solution in this link: Proposal solution. Thanks for your attention.