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The order of a differential equation is a highest order of derivative in a differential equation.
For example, let us assume a differential expression like this.
d2y/dx2 + (dy/dx)3 + 8 = 0
In this differential equation, we are seeing highest derivative (d2y/dx2) and also seeing the highest power i.e 3 but it is power of lower derivative dy/dx.
According to the definition of differential equation, we should not consider highest power as order but should consider the highest derivative's power i.e 2 as order of the differential equation. Therefore, the order of the differential equation is second order.
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