Given a nonhomogeneous ordinary differential equation, the undetermined coefficients method proceeds as follows. Select a differential operator which will annihilate the right side, and apply it to both sides. Find the solution to the homogeneous equation, plug it into the left side of the original equation, and solve for constants by setting it equal to the right side. The solution is then obtained by plugging the determined constants into the homogeneous equation.

# Undetermined Coefficients Method

## See also

Ordinary Differential Equation## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Undetermined Coefficients
Method." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/UndeterminedCoefficientsMethod.html