What is the step by step method exactly pls? I tried to google it but I didn't come across anything close. Is it known with another name? Please find attached the problem. BDW it is taken from an AQA past paper.
I think it's most likely Euler's method...
Euler method - Wikipedia, the free encyclopedia but I could be wrong.
This is a Euler's Method problem as Deadstar stated.
If you need to relearn how to do this I suggest watching this lecture:
Lecture 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations
You need to do two steps to get to that point.