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It stands for "Initial Value Problem." So once you find the general solution of the Diff Eq, you plug in these given initial conditions (e.g. for a 2nd order; y(0) = 1, y'(0) = 0) to find the specific solution.

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6y ago
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5mo ago

An initial value problem (IVP) in differential equations is a problem that involves finding a solution to a differential equation that satisfies certain initial conditions. These initial conditions are usually specified as the values of the unknown function and its derivatives at a given point in the domain. The solution to an IVP is unique if it exists.

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6y ago

It's short for initial value problem. It refers to a differential equation, plus the initial value or values. Without the initial values, a different equation doesn't give you a single curve, but rather a family of curves.

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