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15.1 Definition

A first order differential equation is an equation of the form

.

If F(x, y) is a function of x only, that is if F(x, y) = f(x), the differential equation becomes

and can be integrated

Comment

To specify y, we need to know the value  of y(x1) (initial condition) or some equivalent piece of information.

Examples with dy / dx = F(x)

Example 1

Example 2