DEs Flashcards

1
Q

ordinary differential equation (ODE)

A

1

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2
Q

partial differential equation (PDE)

A

2

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3
Q

order

A

3

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4
Q

family of solutions

A

4

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5
Q

initial condition

A

5

defn, IVP

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6
Q

separable equations

A

6

defn, how to solve

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7
Q

homogeneous of degree n

A

7

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8
Q

homogeneous equation

A

8

2 defns, how to solve

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9
Q

total differential

A

9

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10
Q

exact equation

A

10

exact differential, exact equation, property

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11
Q

how to solve an exact equation

A

11

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12
Q

integrating factor

A

12

defn, fact

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13
Q

integrating factors in cases

A

13

2 cases

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14
Q

first-order linear equation

A

14

defn, soln, special case

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15
Q

Bernoulli equations

A

15

defn, soln

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16
Q

second-order equation

A

16

17
Q

auxiliary polynomial

A

17

18
Q

general solution to second-order linear differential equations

A

18

3 cases

19
Q

reduction of order

A

19

20
Q

solutions of non-homogeneous second-order equations

A

20

21
Q

Wronskian

A

21