# Chapter 20: Differential Equations Flashcards

## First and second order equations, all the harmonic motion, and coupled equations... I wonder why this one isn't in the mechanic section of the book...

How do you find the integrating factor?

Define a general and particular solution for a 1st order equation.

For an auxiliary equation of a 2nd order differential in the following form, what is the general equation?

For an auxiliary equation of a 2nd order differential in the following form, what is the general equation?

For an auxiliary equation of a 2nd order differential in the following form, what is the general equation?

What is the complementary function?

For a nonhomogeneous equation (≠0), solving the auxiliary equation gives a complementary function.

How do you find the general solution for a 2nd order differential equation?

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

What is it called, for a 2nd order differential equation, when you find the values of the constants of the general equation?

What is the equation that satisfies the conditions for a simple harmonic motion equation?