Of the form a_n(x) y^(n) + ... + a_1(x) y' + a_0(x) y = g(x). Solution space is an affine subspace: general = homogeneous + particular. Variation of parameters, integrating factors.
Linear ODE
Related concepts
- Ordinary differential equation (ODE)
- Vector space
- Laplace transform
- Separation of variables
- Sturm–Liouville theory
- Variation of parameters
- Duhamel's principle
- Schrödinger equation
- Radioactive decay law
- Sturm–Liouville theory (physics use)
- Rate equations (laser)
- Courant–Snyder invariant and one-turn map (accelerator-physics)
- Rossby wave dispersion from β-plane geostrophy (geophysics)
- Rheology of complex fluids