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Exact differential equation
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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:
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:<math>M(t,y) + N(t,y)y' = 0\,</math>
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:<math>M(t,y) + N(t,y)y' = 0\,</math>
or
<math>M(t,y) dt + N(t,y) dy = 0\,</math>
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−
or
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−
:
<math>M(t,y) dt + N(t,y) dy = 0\,</math>
To find the solution of this equation, we assume that the solution is φ = constant. This means that:
To find the solution of this equation, we assume that the solution is φ = constant. This means that:
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