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Question: non-linear differential equation

Question:non-linear differential equation

Georgios 5 Maple
differential-equation
October 05 2016
1

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

b(0)=1

b(8)=exp(.1842068074*ln(-(2.*(-1.+b(x)))/(2.*b(8)-7.))+9.670857391)

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

giorgio_3.mw

 
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