Answer :

Order is defined as the number which represents the highest derivative in a differential equation


Second order means the order should be 2 which means the highest derivative in the equation should be or y’’


Let us examine each option given


A. (y’)2 + x = y2


The highest order derivate is y’ which is first order.


B. y’y’’ + y = sinx


The highest order derivate is y’’ which is second order.


C. y’’’+(y’’)2+y=0


The highest order derivate is y’’’ which is third order.


D. y’ = y2


The highest order derivate is y’ which is first order.

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