## Eliminate
Here are two slightly unusual applications of ## Integro-Differential EquationConsider the integro-differential equation
and eliminating the integral yields a trivial differential equation.
The solution to this equation for the pair of initial conditions, and , is immediate.
It is easy to verify that this solution satisfies the integro-differential equation.
## System of Differential EquationsConsider a system of differential equations.
It should be apparent that and can be eliminated from this linear system of equations. Jens-Peer Kuska (kuska@linmpi.mpg.de) suggested an elegant method for doing this using
we can then eliminate , , and .
Converted by Mathematica
September 30, 1999
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