Chapter 3. Examining Exact First Order Differential Equations

In This Chapter

  • Figuring out whether a differential equation is exact

  • Solving exact differential equations

An exact differential equation is a differential equation that can be cast into the following form:

You can integrate the derivative in this case and get the solution f(x, y), which is precisely what this chapter is all about: finding f(x, y). In the following pages, you practice a simple test to determine whether a differential equation is exact (so that you don't waste your time looking for f(x, y) if it's not), and then you work on solving exact differential equations.

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