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General and Particular Solutions
General and Particular Solutions
Here
we will learn to find the general solution of a differential equation,
and use that general solution to find a particular solution. We will
also apply t...
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Optimization
Optimization
Here we will learn about optimization; this is used for whenever we want to find something like least material, maximum volume, minimum distance, or greatest area, just to name a f...
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Related Rates
Related Rates
In this section, we will learn how to solve problems about related rates - these are questions in which there are two or more related variables that are both changing with respect...
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Existence and Uniqueness of Solutions
Existence and Uniqueness of Solutions
Here, we will learn how to determine whether a
given differential equation is guaranteed to have a solution, and
whether or not that solution is unique....
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Cauchy-Euler Equations
Cauchy-Euler
Equations
Here we will learn about a specific
type of
second-order differential equation. If we have a differential equation
of the form:
it is a Cauchy-Euler
equa...
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Solving Basic Limits
Properties of Limits
Limits can be broken up to make them easier to solve. Here are some ways to do this:
If there are two separable functions added or subtracted, they can be separated:...