Flashcards in Differential Equations Deck (16):

0

## Euler's method for differential equations

### D

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## Writing limits of multivariable functions

### Lim(x,y)→(a,b) for f

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## Boundry point

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

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## Interior point

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

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## Open set

### A set of only interior points

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## Closed sets

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

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## 2 path test

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

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## Partial derivatives for x-value

### Lim(h→0) [f(a+h,b)-f(a,b)]/h

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## Partial derivatives for y-value

### Lim(h→0) [f(a+h,b)-f(a,b)]/h

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## Higher order Derivatives

### J

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## Differentiable points on a region

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

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## Chain Rule (One independent Variable)

### H

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## Chain Rule (Two independent Variables)

### S

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## Implicit Differentiation

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

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## Directional Derivative

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

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