I have no idea about this question below. Please take your time to do it carefully and please don't use AI cause it will give the wrong answers!

This question below relates to the topics "Euler Method" and "Improved Euler Method" (Just follow the steps in the two lecture notes below and don't use AI):

+) Lecture note "Euler Method":

https://drive.google.com/file/d/15WB8ObKbfkakZSDv3WoLiT7zb1hm8uOY/view?usp=sharing

+) Lecture note "Improved Euler Method":

https://drive.google.com/file/d/15nQ3ZfeLKtFUJvz6h1WaNgAKU0W42uAq/view?usp=sharing

Q1. Consider the IVP y' = x + y with y(0) = 2. Let h = 0.5. Find y(1) using Euler's method