Differential Equations — The Mathematics of Change

Differential equations express relationships between a function and its derivatives. They are the mathematical language of physics, engineering, biology and finance.

Two Big Families

• Ordinary differential equations (ODEs) — one independent variable.
• Partial differential equations (PDEs) — several independent variables (heat, wave, Schrödinger).

Solution Techniques

Separation of variables, integrating factors, Laplace transforms, Fourier series and numerical methods.