Use a numerical solver and Eulers method to approximate y(1 0), where y(x) is the solution to y ' 2xy 2 , y(0) 1 First use h 0 1 and then use h 0 05 Repeat, using the RK4 method Discuss what might cause the approximations to y(1 0) to differ so greatly ...

Using separation of variables we find that the soluti ...

Use a numerical solver and Eulers method to approximate y(1.0), where y(x) is the solution to y'

Question:

Use a numerical solver and Euler’s method to approximate y(1.0), where y(x) is the solution to y' = 2xy², y(0) = 1. First use h = 0.1 and then use h = 0.05. Repeat, using the RK4 method. Discuss what might cause the approximations to y(1.0) to differ so greatly.