I'm trying to solve a third-order nonlinear ordinary differential equation. I couldn't get the answer even using Mathematica.(adsbygoogle = window.adsbygoogle || []).push({});

The equation is:

u'''(t) + u/2 u''(t) = 0

with conditions u(0)=0, u'(0)=0, u(10)=1.

I need to get both analytic solution and numerical solution. For the numerical solution, I'm thinking the Newton iterative algorithm. But for the analytic solution, I really have no idea.

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# Homework Help: Third-order nonlinear ODE with boundary condition

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