notifications

Differential Equation

Wikipedia

Dx f(x) = f(x). Dx f(x, y) = f(x, y). x Dx f(x, y) + y Dy f(x, y) = f(x, y). Dx f(x) + p(x) f(x) = q(x) f(x)n.

Ordinary Differential Equation

Wikipedia

Explicit f(x, f(x), Dx f(x), ⋯, Dxn - 1 f(x))= Dxn f(x). Implicit f(x, f(x), Dx f(x), ⋯, Dxn f(x)). Autonomous Linear ai(x) Dxi f(x) + b(x) = 0, i = 0 ⋯ n. Homogeneous Non-homogeneous Non-linear

Partial Differential Equation

Wikipedia

References