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Exact differential equation (view source)
Revision as of 18:55, August 2, 2010
, 18:55, August 2, 2010no edit summary
An '''exact differential equation''' is a differential equation that can be solved in the following manner.
An '''exact differential equation''' is a differential equation that can be solved in the following manner.
Suppose you are given an equation of the form:
Suppose you are given an equation of the form:
:(1)<math>M(t,y) + N(t,y)y' = 0\,</math> or <math>M(t,y) dt + N(t,y) dy = 0\,</math>
:<math>M(t,y) + N(t,y)y' = 0\,</math> or <math>M(t,y) dt + N(t,y) dy = 0\,</math> (equation 1)