Undetermined Coefficients

Definition

In calculus, undetermined coefficients is a method used to find the particular solution of a nonhomogeneous linear differential equation. It involves assuming that the particular solution can be expressed as a polynomial and then solving for the undetermined coefficients.

Related terms

Linear Factors: Linear factors are expressions in algebra that have degree 1, meaning they are polynomials with only one term. They play an important role in factoring polynomials and finding their roots.

Polynomial Long Division:

Polynomial long division is a method used to divide two polynomials when the divisor has a higher degree than the dividend. It helps simplify complex polynomial expressions by breaking them down into simpler forms.

Particular Solution:

The particular solution refers to the specific solution of a differential equation that satisfies both the original equation and any given initial conditions or constraints. It is different from the general solution, which includes all possible solutions.