Introduction to Differential Equations

Introduction to DifferentialEquations(For smart kids)Andrew D. LewisThis version: 2017/07/172iPrefaceThis book is intended to be suggest a revision of the way in which the firstcourse in Differential Equations is delivered to students, normally in their secondyear of university. This course has traditionally grown as an offshoot of the calculuscourses taught in the first year, where students often learn some techniques andtricks for solving specific problems, , for computing specific derivatives andintegrals. This is not an entirely unreasonable thing to do, since it is difficult toimagine being able to practice mathematics without being able to handle calculuswith some of the basic special functions one encounters in a first ,a first calculus course often comes complete with many insights into the m

there are so few di erential equations that can be solved analytically, and also because the analytical solution procedures are often extremely tedious to apply, one may wish to have at hand computer methods for working with di erential equations. Computer packages come in two basic flavours, which give, along with some examples of these.

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