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
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? :(