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Exact differential equation (view source)
Revision as of 21:24, September 8, 2020
, 21:24, September 8, 2020new link
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where F(y) is a "constant of integration". (In reality, F(y) is a [[function]], but when we differentiate it with respect t, we treat y as constant and so its [[derivative]] becomes zero.) In order to solve for F(y), we differentiate φ(y,t) with respect to the other variable, in this case y, and set the result equal to N(t,y).
where F(y) is a "constant of integration". (In reality, F(y) is a [[function]], but when we differentiate it with respect t, we treat y as constant and so its [[Derivative_(calculus)|derivative]] becomes zero.) In order to solve for F(y), we differentiate φ(y,t) with respect to the other variable, in this case y, and set the result equal to N(t,y).
==Non-Exact Case==
==Non-Exact Case==