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Question 6

Determine order and degree(if defined) of differential equation (ym)2 + (yn)3 + (y')4 + y5 =0

Answer

(ym)2 + (yn)3 + (y')4 + y5 =0

The highest order derivative present in the differential equation isym. Therefore, its order is three.

The given differential equation is a polynomial equation in ym ,  yn , y'.

The highest power raised to yis 2. Hence, its degree is 2.

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