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 Calculus Calculus Math Forum

 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(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 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: Tags euler, formula, method or Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post WRNWRN Calculus 0 December 9th, 2012 09:51 AM FalkirkMathFan Real Analysis 0 November 5th, 2011 12:24 AM FalkirkMathFan Real Analysis 0 November 4th, 2011 04:08 AM FalkirkMathFan Calculus 0 November 3rd, 2011 04:52 PM Singularity Calculus 1 February 27th, 2010 03:24 AM

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