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Unique Solution - Differential Equations in Action

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    So here is the connection with differential equations:
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    The exponential function is the unique solution to the following differential equation:
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    The derivative of Y of X, with respect to X, equals Y of X, for all X,
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    and the initial value, Y of zero, equals one. This is about as simple as it can get with differential equations.
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    We're looking for a function, Y, that is its own derivative, and starts with a value of one.
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    It's clear now that the exponential function is a solution to that differential equation,
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    but as most other differential equations that are of interest, also this differential equation is so well-behaved
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    that the exponential function is the unique solution of this differential equation.
Title:
Unique Solution - Differential Equations in Action
Video Language:
English
Team:
Udacity
Project:
CS222 - Differential Equations
Duration:
0:53
Udacity Robot edited English subtitles for Unique Solution - Differential Equations in Action
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