Method of Undetermined Coefficients

Explore the method of undetermined coefficients for solving nonhomogeneous first and second-order differential equations with constant coefficients in this 30-minute video tutorial. Discover how to determine the form of particular solutions for various types of equations, including those with polynomial and trigonometric functions. Compare the method of undetermined coefficients with Laplace Transform techniques, and practice solving problems from Nagle's textbook section 4.4.

Syllabus

Undetermined Coefficients, second order linear differential equation, f(t) is a polynomial.
Undetermined Coefficients, first order linear differential equation, f(t) is a cosine function.
Determine the form of a particular solution, second order linear differential equation, sect 4.4 #27.
Determine the form of a particular solution, second order linear differential equation, sect4.4 #29.
Determine the form of a particular solution, second order linear differential equation, sect 4.4#31.
Laplace Transform vs. Undetermined Coefficients (part2).