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Ordinary Differential Equations/Exact 2
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First Order Differential Equations
This page details a method for finding the solutions to equations of the form
Using the Integrating Factor:
Example 1
Consider the following equation:
Now the
So the integrating factor is:
Multiply the original equation by
Then try:
Which is equal to the LHS giving us:
Then integrate with respect to x:
Giving:
(This is the general solution)