System of Differential Equations by the Elimination Method

Learn to solve systems of differential equations using the elimination method in this comprehensive 1.5-hour tutorial. Explore the D notation and its importance when order matters and when it doesn't. Work through multiple examples, including first and second-order linear differential equations with various input functions such as polynomials and cosine functions. Master the application of undetermined coefficients and tackle problems with initial conditions. Gain practical experience solving problems from Nagle's textbook, specifically focusing on Section 5.2.

Syllabus

The D notation, when the order DOES matter.
The D notation, when the order DOES NOT matter.
System of differential equations by elimination, ex1.
Undetermined Coefficients, second order linear differential equation, f(t) is a polynomial.
System of differential equations by elimination, sect5.2#9.
Undetermined Coefficients, first order linear differential equation, f(t) is a cosine function.
System of differential equations by elimination (2nd order, w/ initial conditions), sect5.2#21.