Last Updated 10/28/2022

Sage Essentials
Section 8: Differential Equations

In this section we will learn the commands you need for a typical Differential Equations course.

Direction Field

Example 1

To plot the direction field of a differential equation of the form $\frac{dy}{dx}=f\left(x,y\right)$ , we can use the plot_slope_field() command.

For example, let us plot the direction field of $\frac{dy}{dx}=\frac{x}{y}$ over $\left[-2,2\right]\times \left[-3,3\right]$.

Try this!

Plot the direction field of $\frac{dy}{dx}=\frac{\cos x}{\sin y}$ over $\left[-\pi ,\pi \right]\times \left[-\pi ,\pi \right]$ .