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## Homework Statement

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.

## Homework Equations

yn+1 = yn + f(x0, y0)(x-x0). Adjusting 0 for the next number as we go up

## The Attempt at a Solution

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.