Find the general solution to the given differential equation:

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- Jul 15th 2007, 06:01 PMfudawalaHigher Order Complex Roots
Find the general solution to the given differential equation:

- Jul 15th 2007, 07:27 PMtopsquark
- Jul 15th 2007, 07:33 PMtopsquark
The characteristic equation is

The rational roots theorem says that any rational zeros of this polynomial will be of the form . Checking these shows that m = -1 is a solution. Thus:

We use the quadratic formula to get factors of the quadratic factor, giving:

which has solutions .

So the solution of the differential equation will be of the form:

-Dan - Jul 15th 2007, 07:38 PMtopsquark