Hi,
Part "a" of my problem says
"Let y = y(x) be the solution to the initial-value problem
y' = x^2 - y/3, y=y(x), y(1)=0
Use Euler's method with n = 3 steps to estimate the value of y(2) show your steps clearly..."
Anyway, I found the values and they are correct, shown below,
x_0 = 1
y_0 = 0
x_1 = 4/3
y_1 = 1/3
x_2 = 5/3
y_2 = 8/9
x_3 = 2
y_3 = 139/81
But my problem is with part b,
<- from the answer key
It' asking me to graph my values with the graph of the actual solution, which isn't given. How am I supposed to figure out what the actual solution looks like?
Thanks