Ordinary Differential Equation

Ordinary differential equations (ODEs for short) are equations that do not use partial derivatives, and only include two variables, and their derivatives. The general form is:

$$f(x,y,\frac{dy}{dx},\frac{d^{2}y}{d{x}^2},\dots ,\frac{d^{n}y}{d{x}^n})=0$$

#todo Initial conditions

Transient vs Steady state terms §

Transient terms: terms decaying to 0 as t → ∞. 2. Steady state terms: terms NOT decaying to 0 as t → ∞.