💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

EI
Numerade Educator

Like

Report

Problem 26 Easy Difficulty

(a) Program your computer algebra system, using Euler's method with step 0.01, to calculate $ y(2), $ where $ y $ is the solution of the initial-value problem
$ y' = x^3 - y^3 y(0) = 1 $
(b) Check your work by using the CAS to draw the solution curve.

Answer

a) $f(2)=1.90195$
b) The blue curve in the graph below is the solution curve for the initial condition $y(0)=1$

Discussion

You must be signed in to discuss.

Video Transcript

in this problem were asked to solve a differential equation using oilers method. And that differential equation is dy dx equals X to the third minus Y to the third with Y zero equals 1. We have our step size His .01 And we're looking for Y of two. So I wrote a code in Mathematica and this is the output that I got. You can see I have the initial condition the mhm step size in the function. And when I plugged it all in I got About 1.9. So that's what I would say for the first part is that Wife too Is approximately 1.9. And then for the next part it asked to plot the solution curve. So I did that again in Mathematica. And this is the I'll put that I got so at around to get here and when I asked for the specific value, I got again 1.899 which is really close to the value, Wife two is approximately 1.9.