ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 13 Aug 2018 19:41:49 +0200How to solve and plot y' = x^2 + y^3https://ask.sagemath.org/question/43369/how-to-solve-and-plot-y-x2-y3/Hi.
My first post!
I am trying to complete this exercise:
12. Although it might not be obvious from the differential equation, its solution could “behave badly” near a point x at which we wish to approximate y(x). Numerical procedures may give widely differing results near this point. Let y(x) be the solution of the initial-value problem y' = x^2 + y^3, y(1) = 1.
(a) Use a numerical solver to graph the solution on the interval [1, 1.4].
(b) Using the step size h = 0.1, compare the results obtained from Euler’s method with the results from the improved Euler’s method in the approximation of y(1.4).
Please help?
THANK YOU!RobertWebbMon, 13 Aug 2018 19:41:49 +0200https://ask.sagemath.org/question/43369/