# Differential Equation - Where am I going wrong?

• oneamp

## Homework Statement

Using Euler's Method:

a) Find the 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

b) Repeat part (a) with h = 0.05.

I am doing part (b). The function is y' = 0.5 - t + 2y, y(0)=1

## Homework Equations

For Euler's Method:
y_n = y_n-1 + h * F(x_n-1, y_n-1)

## The Attempt at a Solution

I've done it according to the book, using Euler's Method. I am trying to find y_1 but am not coming up with the book answer, for (b).

h = 0.05
so t = 0.05, 0.10, 0.15, 0.20 (but not interested in these yet, just want y_1 to be right!)

y_1 = 1 + (0.05) [0.5 - 0 + (2)(1)]
should be 1.26, but I get the wrong answer. What am I doing wrong? :(

Thanks

I think you have the correct formula for y1. I will observe that y2, which is your approximation for y(.1), is in fact 1.26 if you take the next step. You are simply confusing what you're supposed to be comparing to your answer sheet.

Thank you!