Teaching
Ordinary Differential Equations
Lecture 12

Method of Undetermined Coefficients

Jan 1, 2021 · 1 min read

Summary

The Method of Undetermined Coefficients provides a way to obtain a particular solution of a linear second-order constant-coefficient non-homogeneous ODE

ax′′(t)+bx′(t)+cx(t)=f(t) a x^{\prime \prime}(t)+b x^{\prime}(t)+c x(t)=f(t)

in case the forcing f(t)f(t) is comes from a number of special types of functions — one reduces the problem to a system of linear algebraic equations.

Full Set of Lecture Notes

The notes for this lecture are available here.

Supplementary Jupyter Notebooks

Deniz Bilman
Authors
Deniz Bilman
Assistant Professor