Homogeneous Linear Ordinary Differential Equations

Homogenous linear differential equations is a class of differential equations.

To solve a homogeneous linear differential equation one must first find the characteristic polynomial. Find the roots of the polynomial and match them to the following cases:

1. Distinct Roots:
2. Repeated Roots: If is repeated times use:
3. Complex Conjugates: If are roots, then use and

See W2L6 - Homogeneous Linear ODEs for examples and more info.

eulers-formula