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:<math> u= \hat u_0 e ^{kt} </math>
==Forward Euler Approximation==
:<math> \frac {u^{n+1} -u^n}{\triangle t } \approx \kappa u^n </math>
Equation is an explicit approximation to the original differential equation since no information about the unknown function at the future time (n + 1)_t has been used on the right hand side of the equation. In order to derive the error committed in the approximation we rely again on Taylor series.
==Backward Difference==
==References==
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