Differential Equation

• Differential Equations mathematically express the language of changing quantities
• Differential Equations can be used to study processes that are deterministic, finite-dimensional, and differentiable.
• The fundamental problem of the theory of differential equations is to determine or study the motion of some system using the phase velocity vector field.
• Differential equations arise when the dynamics of a system is described by changes in state rather than explicit state values. Analysis proceeds by transforming the problem into an analogous geometric one in a vector field

Topics §

• Ordinary Differential Equation
• Partial Differential Equation

Links §

• Paul’s Online Notes - Differential Equations

• 3B1B - Differential Equations

• Ordinary Differential Equations by Arnold

• Differential Calculus

• Integral Calculus