I have to do this take home test for school before break ends and it is on Slope Fields and Euler's Method. I'm having trouble understanding and/or working with Euler's Method.
These are the two problems I am stuck on:
2.$\text{}$ Use Euler's Method with $\Delta x=0.1$, $\dfrac{dy}{dx}=2x-y$ and $y=0$ when $x=1$ to find the value of $y$ when $x=1.3$.
A) 0.6 B) 0.2 C) 0.4 D) 0.8
3.$\text{}$ Find the first three approximations (by hand) $y_1$, $y_2$, $y_3$ using Euler's Method for the initial value problem
$\frac{dy}{dx}=1+y,\quad y(0)=1.$
Thanks for any help or tips in advance!