🗺️ Map of Content - Differential Equations

George Pólya

In order to solve this differential equation you look at it until a solution occurs to you.

Series solutions


Power series solutions

Power Series Solutions I - From polynomials to power series
Power Series Solutions II - First steps with power series
Power Series Solutions III - A more representative example
Power Series Solutions IV - Analytic functions and ordinary points

Frobenius series solutions

Frobenius Series Solutions I - Slightly generalizing power series
Frobenius Series Solutions II - Some illustrative examples
Frobenius Series Solutions III - Frobenius theory
More coming soon

Fourier series solutions

Jean-Baptiste Joseph Fourier

There cannot be a language more universal and more simple, more free from errors and obscurities...more worthy to express the invariable relations of all natural things [than mathematics].

Coming soon

Transform methods


The Fourier transform

Coming soon

The Laplace transform

Coming soon