Gear300
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What is the difference between the behavior of solutions that are exact and those that are not?
Exact vs. Non-Exact Differential Equations: What Sets Them Apart?
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As far as I know, the solutions don't have any special properties.
Describing an equation as "exact" just means it is easy to solve using a particular technique (i.e finding an integrating factor).
Describing an equation as "exact" just means it is easy to solve using a particular technique (i.e finding an integrating factor).
Gear300
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Oh...I see. I don't really see anything too special in their phase portraits either. Thanks for the reply.
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There is no difference in the solutions- every "non-exact" differential equation can be made into an exact equation, with exactly the same solutions, by multiplying by an "integrating factor".
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