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The former is simpler of the two, as it can be written in the normal form
 
The former is simpler of the two, as it can be written in the normal form
   −
<math>y^{(n)} = F(x, y, \frac{dy}{dx}, \frac{d^2y}{dx^2}, \frac{d^3y}{dx^3}, ... , y^{(n-1)})</math>
+
<math>\frac{d^{(n)}y}{dx^{(n)}} = F(x, y, \frac{dy}{dx}, \frac{d^2y}{dx^2}, \frac{d^3y}{dx^3}, ... , \frac{d^{(n-1)}y}{dx^{(n-1)}})</math>
    
for a simple function <math>y = g(x)</math>
 
for a simple function <math>y = g(x)</math>