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Screen reader users, click the load entire article button to bypass dynamically loaded article content. Please note that Internet Explorer version 8. Click the View full text link to bypass dynamically loaded article content. This chapter highlights ordinary differential equations. A differential equation involving only ordinary derivatives is called an ordinary differential equation.

A differential equation containing partial derivatives is called a partial differential equation. The order of a differential equation is the order of the highest-order derivative appearing in the equation. Newton’s law of cooling states that the rate of change of the temperature difference between an object and its surrounding medium is proportional to the temperature difference. The minus sign indicates that this difference decreases. The chapter also illustrates several examples of first-order and second-order linear differential equations. To find all solutions to the nonhomogeneous problem, only one solution to the nonhomogeneous problem and the general solution of the homogeneous problem is necessary. This article has not been cited.

This is a featured article. Click here for more information. He is listed by an academic genealogy as the equivalent to the doctoral advisor of Joseph Louis Lagrange. Euler was one of the most eminent mathematicians of the 18th century and is held to be one of the greatest in history.

He is also widely considered to be the most prolific mathematician of all time. Euler’s influence on mathematics: “Read Euler, read Euler, he is the master of us all. He had two younger sisters: Anna Maria and Maria Magdalena, and a younger brother Johann Heinrich. Euler spent most of his childhood. Europe’s foremost mathematician, and would eventually be the most important influence on young Leonhard. Euler’s formal education started in Basel, where he was sent to live with his maternal grandmother.