Scarborough J.B. Differential Equations and Applications

Waverly Press, 1965. — 479 p.The chief aim of the present book is to show how differential equations arise, how to solve them in the most direct manner, and what the solutions mean or imply. An additional aim is to exhibit the power and utility of differential equations by showing the student what they can do. In the attempt to accomplish these aims, all differential equations in the applications are, with two or three exceptions, derived ab initio from fundamental principles or from known physical laws; they are derived and solved in literal form; and the solutions in most cases are interpreted and discussed as to their meaning and implications. This procedure shows the student how differential equations come about and what their solutions tell about the phenomenon in question.