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i have to reduce the order of a 2nd order differential equation, to solve it with a numerical method.

The equation is:

[itex]\ddot{r}+a\dot{r}+\frac{b}{r^{2}}=0[/itex]

with [itex]a,b\geq0[/itex]

I tried to reduce it substituting [itex]\dot{r}=v[/itex], but i don't know what to do with the term [itex]\frac{b}{r^{2}}[/itex] .

Can someone explain me what i should do?

Thank you,

J.

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# Differential equation - Reduction of order

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