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==The Basics==
 
==The Basics==
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===Seperable Equations===
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We can immediately solve some of the most basic equations, such as <math>y'=ky</math>, where ''k'' is a constant, from our knowledge of the basic derivatives.
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===Separable Equations===
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Sometimes, we're very lucky, and we find that we separate the ''dy'' and the ''dx'' from each other, and that we can arrange the equation such that only terms of ''y'' appear on one side, and only terms of ''x'' on the other.  Let's do an example of this.
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===Second-Order Equations===
 
===Second-Order Equations===
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==Functional Transformations==
    
==Infinite Series==
 
==Infinite Series==
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