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Calculus and Beyond Homework Help
Approximating Solutions to Differential Equations with Euler's Method
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[QUOTE="UltimateSomni, post: 5228140, member: 331787"] [h2]Homework Statement [/h2] y'+y=3+x y(0)=1 (a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3, and 0.4 using the Euler method with h = 0.1. [h2]Homework Equations[/h2] yn+1 = yn + f(x0, y0)(x-x0). Adjusting 0 for the next number as we go up [h2]The Attempt at a Solution[/h2] I'm not looking to have the whole thing solved I'm just looking to solve the very first one and if I figure it out I can go from there. So I solved for y which gets me y= -e^-x +x +2. I checked this solution on wolfram alpha. y1=y0 + (-e^-x +x +2)*h= 1 +(-1+0+2)*.1=1.1. According the textbook its 1.2. It feels so close. [/QUOTE]
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Approximating Solutions to Differential Equations with Euler's Method
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