Differential Equations: Systems of Differential Equations

The video tutorial explains the classification of differential equations based on the number of unknown functions involved. It introduces systems of differential equations and demonstrates how to verify solutions for these systems through examples. The process involves finding derivatives, applying the chain rule, and ensuring both sides of the equations match. Two examples are provided: one for a first order system and another for a second order system. The video concludes with a preview of the next topic, initial value problems.

How do you verify that both sides of a differential equation match?

What are the derivatives that need to be found when verifying a system of differential equations?

What will be discussed in the next video after this one?