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244 Chapter Three

Figure 3.26 Divergence Theorem.

i (1,0,0)

j (0,1,0)

k (0,0,1)

The following formula, known as Stokes’ theorem, stateð that:

G • dr ( G) • dS
C S

Differential Equations

A differential equation containð one or more derivativeð or dif-
ferentialð as variables. The derivativeð can be of any order
(first, second, third, etcј There are numerouð forms. Some of
the most common forms, and their solutions, are given in this
section.

Linear differential equation of firsŁ
order
Let f(x) and g(x) be distinct functions. Let x and y be variables.
Let c be the constant of integration. A linear differential equa-
tion of first order takeð the following form: