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Question: How do I simplify a non-linear first-order ode with two indeterminate functions?

Question:How do I simplify a non-linear first-order ode with two indeterminate functions?

gwoodhouse 0 Maple
ode simplify diff
July 15 2010
0

I have the following differential equation:

de1:=(v(r)^2*(diff(T(r),r)/(1+T(r)^2)+T(r)/r)-T(r))*(v(r)^2*(diff(T(r),r)/(1+T(r)^2)+T(r)/r)+T(r))=(1+v(r)*diff(v(r),r))*(1-v(r)*diff(v(r),r));

I would like to be able to eliminate T' and obtain T as a function of r, v(r), and v' (and possibly v'').

Is this possible?

Thanks, Geoff
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