Airy function - basic properties
I solve the Airy differential equation by Fourier transform and show that the Airy function satisfies the original DE by differentiating under the integral sign. This argument can be made rigorous by using complex analysis to consider a principal value integral

▶︎
L8.1 Airy functions as integrals in the complex plane

▶︎
The Weird Link Between Drums and Differential Equations

▶︎
Calculus of Variations - Introduction

▶︎
building the Fourier transform

▶︎
Green's functions: the genius way to solve DEs

▶︎
The Math of "The Trillion Dollar Equation"

▶︎
do you know about the "reciprocal gamma function"??

▶︎
Another awesome integral with a beautiful result

▶︎
Optics. Airy function

▶︎
a very Airy integral.

▶︎
The overpowered Laplace technique for summing series.

▶︎
The Airy Differential Equation

▶︎
How Compactness Was Invented

▶︎
The INCREDIBLE Malmsten integral

▶︎
Why This Is the Most Exciting Time to Be Human | Ken Ono, Axiom Math

▶︎
Differential Equations | Series Solutions -- Airy's Equation

▶︎
When CAN'T Math Be Generalized? | The Limits of Analytic Continuation

▶︎
Feynman's technique is the greatest integration method of all time

▶︎
Complex Analysis: Dogbone Contour Example

▶︎
