A differential equation is any equation which uses derivatives (e.g. ) as terms. They are very useful in modelling, especially in the fields of physics and engineering, such as to model liquid flow, pressure changes, population growth, etc.
Ordinary Differential Equation
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:
#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 → ∞.
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Partial Differential Equation
Partial Differential Equation
Partial Differential Equations are equations which have at least one Partial Derivative as a term. These equations usually relate to multivariable functions, such as Bivariate Function.
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