Flashcards in DEs Deck (21):

1

## ordinary differential equation (ODE)

### 1

2

## partial differential equation (PDE)

### 2

3

## order

### 3

4

## family of solutions

### 4

5

## initial condition

###
5

defn, IVP

6

## separable equations

###
6

defn, how to solve

7

## homogeneous of degree n

### 7

8

## homogeneous equation

###
8

2 defns, how to solve

9

## total differential

### 9

10

## exact equation

###
10

exact differential, exact equation, property

11

## how to solve an exact equation

### 11

12

## integrating factor

###
12

defn, fact

13

## integrating factors in cases

###
13

2 cases

14

## first-order linear equation

###
14

defn, soln, special case

15

## Bernoulli equations

###
15

defn, soln

16

## second-order equation

### 16

17

## auxiliary polynomial

### 17

18

## general solution to second-order linear differential equations

###
18

3 cases

19

## reduction of order

### 19

20

## solutions of non-homogeneous second-order equations

### 20

21