’s method to approximate y(1.0), where y(x) is the

Chapter 2, Problem 13E

(choose chapter or problem)

Use a numerical solver and Euler’s method to approximate y(1.0), where y(x) is the solution to \(y^{\prime}=2 x y^{2}\), 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.

Text Transcription:

y^prime=2xy^2