How do I solve a 2nd order nonlinear ODE with specific boundary conditions?

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mathis314
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Hi,

I need some help,

I must solve the following nonlinear differential equation,

-k1*(c'') = -k2*(c^0.5) - u*(c')

subject to the bc,

u*(c - 0.5) = k1*(c')

where k1, k2, and u are constants,

thanks
 
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Could try Short step Fourier method (SSFM)?