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Question: Nonlinear ODE using Newton

Question:Nonlinear ODE using Newton

abbeykabir 85
smartplot
August 22 2013
0

Hello everyone, I've been trying to solve a nonlinear ODE that has resulted in the following 5 equations

y[0] and x[0] given as 1/51 and 1 respectively and h=0.1

using x[i+1]:=x[i] + (i+1)*h I obtained values of x[i] i=1..4. Which resulted to the equations below.

My problem now is how to apply Newtons Method to derive the values y[i], i=1..5

I hope this makes sense. Will be very glad if this is answered.
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