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 EquationExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Undetermined Coefficients Method." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UndeterminedCoefficientsMethod.html