Initial Value Problem

Definition

An initial value problem is a type of differential equation that involves finding the solution to an equation along with specific conditions at a given starting point.

Related terms

Differential Equation:

A differential equation is an equation that relates a function with its derivatives. It describes how a quantity changes based on its rate of change.

Initial Conditions:

Initial conditions are specific values or information given at the starting point of an initial value problem. They help determine the unique solution to the problem.

Particular Solution:

A particular solution refers to one specific solution that satisfies both the differential equation and the initial conditions. It is obtained by solving for any arbitrary constants in the general solution.