November 5th, 2011, 12:22 AM  #1 
Newbie Joined: Nov 2011 Posts: 10 Thanks: 0  Euler method/ Euler formula
Im 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(1p) 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 
November 5th, 2011, 12:57 AM  #2 
Member Joined: Jul 2009 Posts: 57 Thanks: 0  Re: Euler method/ Euler formula
You have: With Euler's formula taking the forum: and having P = y, change x = h, and subscripts representing position, then: At n = 0, you would have: Which is consistent with: 

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