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Determine Order and Degree(If Defined) of Differential Equation `((Ds)/(Dt))^4 + 3s (D^2s)/(Dt^2) = 0` - Mathematics

Determine order and degree(if defined) of differential equation `((ds)/(dt))^4 + 3s  (d^2s)/(dt^2) = 0`

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Solution

`((ds)/(dt))^4 + 3s  (d^2s)/(dt^2) = 0`

The highest order derivative present in the given differential equation is (d^2s)/(dt)^2` . Therefore, 

It is a polynomial equation in `(d^2s)/(dt^2)and (ds)/(dt)`. The power raised to (d^2s)/(dt^2) is 1

Hence, its degree is one.

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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 3 | Page 382
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