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Exact differential equation (view source)

Revision as of 18:40, August 2, 2010

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Suppose you are given an equation of the form:
 
Suppose you are given an equation of the form:
   −
<math>M(t,y) + N(t,y)y' = 0\,</math>
+
:<math>M(t,y) + N(t,y)y' = 0\,</math>
    
or
 
or
   −
<math>M(t,y) dt + N(t,y) dy = 0\,</math>
+
:<math>M(t,y) dt + N(t,y) dy = 0\,</math>
    
To find the solution of this equation, we assume that the solution is &phi; = constant. This means that:
 
To find the solution of this equation, we assume that the solution is &phi; = constant. This means that:
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