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WHAT IS A DIFFERENTIAL EQUATION?

DIFFERENTIAL equations AND initial value PROBLEMS Elizabeth Wood WHAT IS A DIFFERENTIAL EQUATION? An equation of the form that has a derivative in it is called a DIFFERENTIAL equation. DIFFERENTIAL equations are an important topic in calculus, engineering, and the sciences. A lot of the equations that you work with in science and engineering are derived from a specific type of DIFFERENTIAL equation called an initial value problem. initial value PROBLEM The problem of finding a function y of x when we know its derivative and its value y 0 at a particular point x 0 is called an initial value problem. This problem can be solved in two steps. 1. 2. Using the initial data, plug it into the general solution and solve for c. EXAMPLE 1: Solve the initial value problem.

A lot of the equations that you work with in science and engineering are derived from a specific type of differential equation called an initial value problem.

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