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Determine order and degree (if defined) of differential equation (y′′′) 2 + (y″) 3 + (y′) 4 + y 5 = 0

Determine order and degree (if defined) of differential equation (y′′′)2 + (y″)3 + (y′)4 + y5 = 0

Grade:12

1 Answers

SJ
askIITians Faculty 97 Points
9 months ago
Welcome to Askiitians

Given differential equation is (y′′′)2+ (y″)3+ (y′)4+ y5= 0

The highest order derivative present in the differential equation is y′′′.

Therefore, its order is 3.

The given differential equation is a polynomial equation in y′′′, y′′, and y′.

The highest power raised to y′′′ is 2.

Hence, its degree is 2.

Thanks

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