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Okay, but the result of this equation is that y(t) is a complex function ( y² = sqrt(-(t²+1))/t ). Can this be the right answer?

hi

How exactly do you separate?

hi yago.doreaWelcome to the forum.Separation, the partial fractions for y and 'function of a function' for t.I'm getting

I want to solve the following ODE:(1 + t²)y' = ty(1 + y²) where y = y(t).If I try to solve it by separation, I get complex roots, but I'm not trained yet to deal with them. What should I do?