Hi everyone! Read through the material below, and follow up with your instructor if you have questions.

Lesson 7: The Improved Euler Method and Related Methods

Learning Outcomes: At the end of this lesson you will be able to apply the improved Euler method to solve first order differential equations numerically.

Topic. This lesson covers section 3.2: The Improved Euler Method and Related Methods

WeBWorK. There is one WeBWorK assignment on today’s material:

Lesson Notes. Here

Question of the day: Use the improved Euler method with $h=0.1$ to estimate values of the solution of the initial value problem $y^{\prime}+3y=xe^{-x},$ $y(0)=1$.