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Question

Find the order and degree of the differential equation (dydx)2+dydxsin2y=0

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Solution

The order of a differential equation is the order of the highest order derivative present in the equation.
The highest order is of dydx which is =1
The degree of a differential equation is the highest power of the highest order derivative in the equation.
The highest power of dydx is 2 hence degree=2

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