From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Differential Equations

Differential Equations

The Scoop on Euler Exercises

Example 1

Let y be the solution to the differential equation

that passes through the point (0, 0). Use Euler's Method to estimate y(1) with step size Δ x = 0.25.

Example 2

The function y = f (x) is a solution to the differential equation

and f (0) = 5. Estimate y(1) using Euler's method with four steps.

Example 3

The function y = f(x) is a solution to the d.e. y ' = x + y.

Estimate f(2) using Euler's method with 4 steps given that

f(0) = 1.

Example 4

Let y = f (x) be the solution to the initial value problem

Use Euler's method to estimate f (4) using 5 steps.

Advertisement