Category:Initial Conditions
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This category contains results about Initial Conditions.
Definitions specific to this category can be found in Definitions/Initial Conditions.
Let $\Phi = \map F {x, y, y', y, \ldots, y^{\paren n} }$ be an ordinary differential equation.
An initial condition is an ordered pair $\tuple {x_0, y_0}$ which any solution of $\Phi$ must satisfy.
That is, an initial condition is the additional imposition that a solution $y = \map y x$ of $\Phi$ satisfy:
- $\map y {x_0} = y_0$
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