Definition:Initial Condition/Also defined as

Initial Condition: Also defined as

Some sources allow the initial condition to be an ordered $n$-tuple $\tuple {x_0, y_0, y_0', \ldots}$, although this usage is relatively uncommon.

The imposition then becomes that, for all $i$ with $0 \le i \le n$, a solution $y$ satisfy:

$\map {y^{\paren i} } {x_0} = y_0^{\paren i}$

Sources

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