Delphae / ode

Ordinary Differential Equations

Ordinary Differential Equations (ODE)

Several Jupyter notebooks on ODE and the scipy odeint solver (IVP)

Air drag problem

For example the air drag problem of a baloon, based on the lecture of Walter Lewin (8.01x, lec. 12)
MIT room 26-100, september 1999
lecture notes http://freepdfhosting.com/8e7861f909.pdf
In this lecture a 1st order nonlinear ODE has to be solved
But this IVP problem can not be solved with analytic/exact calculus
An excellent example for numerical computation with scipy

Airy function

solve the 2nd order ODE
y'' - (ax+b)y = 0
with substitution and the Airy functions

Euler equation

solve the 2nd order ODE
x^2y'' + axy' + by =0