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mathematics?!?!

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- Tue, 13 Jan 2015 00:40:58 EST 29R5cpQe No.14559
File: 1421127658769.jpg -(799991B / 781.24KB, 2000x2597) Thumbnail displayed, click image for full size. mathematics?!?!
WHAT IS DIFFERENTIAL EQUATIONS ALL ABOUT?
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Nigel Bladdleville - Tue, 13 Jan 2015 01:21:14 EST zyLGA8ah No.14560 Reply
1421130074393.jpg -(65766B / 64.22KB, 500x563) Thumbnail displayed, click image for full size.
You learned how to solve algebraic equations in algebra.
You will learn how to solve equations that contain derivatives of functions in differential equations.
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Molly Blerringsore - Mon, 19 Jan 2015 02:38:13 EST 7MP0s8P6 No.14569 Reply
weird ass equations that relate a value and the value's own rate of change.
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Nigger Dubberdet - Fri, 23 Jan 2015 15:02:12 EST OlFjx/Q0 No.14572 Reply
It's a functional equation in which there are differentials.

A functional equation is an equation, in which the unknowns are functions, instead of numbers like in algebraic equations.
Solving an algebraic equation means finding a number (numbers) that satisfy given algebraic equation.
Solving a functional equation means finding a function (functions) that satisfy given functional equation.

Generally functional equations are very hard to solve. There is no general solution to such equations. Subset of those equations, differential equations, are particularly useful, and thus intensively researched. There are general ways to solve some rather simple classes of DE, but not all of them (like the infamous Navier-Stokes equations)
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Phoebe Genderstitch - Fri, 23 Jan 2015 17:07:04 EST E00AZouD No.14574 Reply
Sometimes when you have a problem, you can describe it using an algebraic equation and this will give you at least one numerical value to answer your problem. It should allow you to at least narrow down your solution-search to a certain type of number.
Other times when you have a problem, you can describe it using a differential equation and this will give you at least one type of relationship between numerical values (aka functions) that will allow you to answer your problem. It should allow you to at least narrow down your solution-search to a certain type of characteristic relationship (function).

Some problems are simple and the solution will be a number. Other problems are more complex and the solution is a whole bunch of numbers that all share a certain relationship with one another.

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