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Exact differential equation (view source)
Revision as of 18:42, August 2, 2010
, 18:42, August 2, 2010no edit summary
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:
<math>\frac{\partial \phi}{\partial t} = M</math> and <math>\frac{\partial \phi}{\partial y} = N</math>
<math>\frac{\partial \phi}{\partial t} = M</math> and <math>\frac{\partial \phi}{\partial y} = N</math>, since <math>(\frac{\partial \phi}{\partial t}) dt + (\frac{\partial \phi}{\partial y}) dy = 0</math>
φ is found by integrating M and N:
φ is found by integrating M and N: