Your answer looks good.
By the way, this one is easy to solve exactly.
You get so .
You can probably get Wolframalpha to do this for you too.
From an AP Calculus BC exam guide book:
Use Euler's method with step increment h=0.1 to approximate y(0.3), where y(x) is the solution to the IVP y'=y+xy, y(0)=1.
We think the answer is (C) 1.37. The answer key says the answer is (E) 1.54. I think the book gave the answer for y(0.4). Are we right? Is the book?
PS. Answers A,B, and D are: 1.221, 0.1, and 1.1.
Edit: OK, some more detail:
Isn't ?
Thanks, tutor. Glad to have that confirmed (I always assume the book is right and tear out my hair looking for what I did wrong).
BTW, Wolframalpha is probably not allowed on the test we're studying for (just a hunch). But I guess I could have used it to confirm our answer.