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November 5th, 2011, 12:24 AM   #1
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Euler formula/method cont

I'm really struggling with how to do this question, can anyone help me?


Use the Euler method with step size h to approximate the solution to dP/dT=10p(1-p) where p(0)=0.1
Show that the corresponding Euler formula takes the form pn+1 = (1 + 10h)pn ? 10hp^2 n, p0 = 0.1

Implement pn+1 = (1 + 10h)pn ? 10hp^2 n, p0 = 0.1 as a computer program. Set h = 0.1. Plot the numerical and the analytical solution
on a single graph and compare them.

Ps the n and n+1 in the equations are to the base. thanks
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