Initial value problem: Difference between revisions

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(Created page with "Category:Differential Equations The '''initial value problem (IVP)''' is a very common class of problem in Differential Equations. As the name suggests, in an IVP, an initial value is given along with a differential equation. <math> y(t_0)= y_0 </math>")
 
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y(t_0)= y_0
y(t_0)= y_0
</math>
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For higher order ODEs, more than one initial value is needed to fully define a differential equation. These initial values must be at the same point (unlike in [[boundary value problem]]s)

Latest revision as of 00:11, 18 May 2024


The initial value problem (IVP) is a very common class of problem in Differential Equations.

As the name suggests, in an IVP, an initial value is given along with a differential equation.

For higher order ODEs, more than one initial value is needed to fully define a differential equation. These initial values must be at the same point (unlike in boundary value problems)