Differential Equations


   
 
An Alternative Form of a First-order First-degree Differential Equation
A first-order first-degree differential equation if of the form
 
 
The equation (1) can be rewritten as
 
….(2)
 
where
 
So,
 
 
The fact that, Dy - f(x, y) Dx ® 0 as Dx ® 0 is expressed by writing
 
dy = f(x,y)dx ....(3)
 
is an alternative form of the differential equation (1).
 
 
     
   
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