Here’s a short question that will give you an opportunity to practice using Euler’s Method. Complete this before our lesson tomorrow.
Use Euler’s Method to find the approximate value of f(3) if y=f(x) is the solution to
\frac{\textrm{d}y}{\textrm{d}x} = y^2-xpassing through (2,1). Use a step length of 0.5.
(Notice that this is a first-order nonlinear DE that is neither separable hor homogeneous, so we won’t be able to use any methods available in the course to find an explicit solution for this DE.)