We can think of solving differential equations as the inverse of finding the derivative of a function. Given a differential equation (the derivative), a solution is any function that has that derivative. In this chapter, we will deal with only first-order ordinary differential equations (that is, first derivatives only).

For example, a solution of the differential equation^{[1]}

is

where *C* is an arbitrary constant. The latter is a solution because its derivative is the differential equation.

Because of ...

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