For the general solution of the 'incomplete' DE...

(1)

... try functions like .For the particular solution of the 'complete' DE...

(2)

... try a function like ...

Kind regards

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- April 4th 2010, 03:30 AM #1

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- April 4th 2010, 04:59 AM #2

- April 4th 2010, 07:01 AM #3

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This is an "Euler-type" or "equipotential" equation. As chisigma said, you can try a solution of the form to get the "characteristic equation".

It is also true that the substitution t= ln(x) converts an "Euler-type" equation into an equation with constant coefficients having the same characteristic equation.