## Reviewing ODE solvers

Coded up primitive ODE solvers for Euler, RK2, RK4, RKF in Python on the plane and graphed comparative results.  Here they are for $y' = 1 + y^2$

The green points are Euler, red are Runge-Kutta second order, light-blue RK4, and small purple are Runge-Kutta-Fehlberg (lying on the blue line for the mathematical solution $y= \tan(t + c)$