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Question

Determine order and degree of differential equation (d2ydx2)2+cos(dydx)=0

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Solution

(d2ydx2)2+cos(dydx)=0

The highest order derivative present in the given differential equation is d2ydx2. Therefore, its order is 2.
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.

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