Question: dx/dt =rln(x) + x 1 Introduce a new variable u = x 1 and deduce the differential equation: du/dt = (r + 1)u 1/2 ru

dx/dt =rln(x) + x 1

Introduce a new variable u = x 1 and deduce the differential equation:

du/dt = (r + 1)u 1/2 ru2 + O(u3).

Make the transformation of variables u = av to get get dv/dt = (r + 1)v ( 1/2 ra)v2 + O(v3)

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