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determine order and degree if defined of differen...

Question:
Determine order and degree(if defined) of differential equation yⁿ + 2y^' + siny = 0

Answer:

yⁿ + 2y^' + siny = 0

The highest order derivative present in the differential equation is yⁿ. Therefore, its order is two.

This is a polynomial equation in yⁿand y' and the highest power raised to yⁿis one. Hence, its degree is one.

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Question:
Determine order and degree(if defined) of differential equation yⁿ + 2y^' + siny = 0