Overview of differential equations

E1

How do you study what cannot be solved?

But what is a partial differential equation?

E2

The heat equation, as an introductory PDE.

Solving the heat equation

E3

Boundary conditions, and setup for how Fourier series are useful.

But what is a Fourier series?

E4

Fourier series, from the heat equation to sines to cycles.

Understanding e to the i pi in 3.14 minutes

E5

Euler's formula intuition from relating velocities to positions.

How (and why) to raise e to the power of a matrix

E6

General exponentials, love, Schrödinger, and more.