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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

1 vote
2 answers
161 views

First-order non-linear differential equation and transcendental equation

I'm trying to solve this differential equation : $$ \frac{dy}{dx}= \frac{-2 y^3}{(y+1)^2(y+2)^2} $$ with the boundary condition $y(x_0)=x_0$, $x>0$, and $y(x)$ being a positive function. The integrat …