Euler's Method

• Find slope of solution at initial condition $(x_0,y(x_0))$ using ODE
• Make small line segment with slope $y^{\prime }(x_0)$
• Take endpoint of line segment $(x_1,y_1)$ and use to find ODE again

TL;DR take a small line p_0 to p_1 with slope at p_0, make a new line p_1 to p_2 starting at p_1 with slope at p_1, etc...

Problems

• Gets more inaccurate the further we are away from the starting point