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determine order and degree if defined of differen...

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

Answer:

(y^m)² + (yⁿ)³ + (y')⁴ + y⁵ =0

The highest order derivative present in the differential equation isy^m. Therefore, its order is three.

The given differential equation is a polynomial equation in y^{m ,}y^{n , y'.}

The highest power raised to y^mis 2. Hence, its degree is 2.

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