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ZixuanZhang

ZixuanZhang

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Exponential Function

, equivalently . It solves with .

Definition 4.5 (Exponential Function)

The exponential function is defined the infinite series

This can also be written as

Examples

The forward Euler discretisation of with yields

, and . The same equation has the power series solution

.

Related

Stated in

Definition 4.5 (Exponential Function)§4.1 The Exponential Function