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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
 
 
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)