Question: non-linear differential equation

Hello guys


I am trying to solve a non-linear 2nd order diffential equation in order to describe the turbulence phenomena for tip vortices .

The initial conditions that i have are



Moreover i know that b from 0 to 1 equals one and then it  increases propably parabololoid(from the experimntal measurements)with respect o Re(Reynolds)

I tried to solve the eqution using maple solve de interactivelly but doesnt seem to work

Do you have any suggestions?

Thank you


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