Nonhomogeneous Linear Systems of Differential Equations

See complementary-solution.

The complementary solution to a nonhomogeneous linear system of differential equations is the solution to the system if it was homogeneous?.

See particular-solution.

You have two main methods to find :

1. The Method of Undetermined Coefficients
2. The Method of Variation of Parameters

A nonhomogeneous linear system is a linear system

inverse-matrix
fundamental-matrix
differentiation-notation
diffeq-notes-week12-1

1. Put the nonhomogeneous system into standard form.
2. Identify the matrix and the column vector .
3. Find a fundamental matrix for the homogeneous system DNF