(1)
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MATHEMATICS
392
If F (x, y) can be expressed as a product g (x) h(y), where, g(x) is a function of x
and h(y) is a function of y, then the differential equation (1) is said to be of variable
separable type The differential equation (1) then has the form
dy
dx  = h (y) g(x) (2)
If h(y) ≠ 0, separating the variables, (2) can be rewritten as
1
( )
h y  dy = g(x) dx