Differential Equations Flashcards Preview

B) Calculus > Differential Equations > Flashcards

Flashcards in Differential Equations Deck (16):
0

Euler's method for differential equations

D

1

Writing limits of multivariable functions

Lim(x,y)→(a,b) for f

2

Boundry point

Any point that exists on the border of a set of points that meet a multivariable equation

3

Interior point

Point that exists within the set of points that fit the multivariable equation

4

Open set

A set of only interior points

5

Closed sets

A set of points that include all boundary points for a multivariable equation

6

2 path test

If there are two paths to the (x,y) point, the limit does not exist

7

Partial derivatives for x-value

Lim(h→0) [f(a+h,b)-f(a,b)]/h

8

Partial derivatives for y-value

Lim(h→0) [f(a+h,b)-f(a,b)]/h

9

Higher order Derivatives

J

10

Differentiable points on a region

Of a function is differentiable at one point, its differentiable at all points

11

Chain Rule (One independent Variable)

H

12

Chain Rule (Two independent Variables)

S

13

Implicit Differentiation

dy/dx=-F(x)/F(y)

14

Directional Derivative

Lim(h→0) (f(a+hcosθ,b+hsinθ)-f(a,b))/h

15

Check for extrema in surfaces using differtial equations

P