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Determine Order and Degree(If Defined) of Differential Equation `(D^4y)/(Dx^4) + Sin(Y^M) = 0` - Mathematics

Determine order and degree(if defined) of differential equation `(d^4y)/(dx^4) + sin(y^("')) = 0`

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Solution

`(d^4y)/(dx^4) + sin(y^(′′′)) = 0`

`=> y^(′′′) + sin(y^(′′′)) = 0`

The highest order derivative present in the differential equation is `y^(′′′)` . Therefore, its order is four.

The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.

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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 1 | Page 382
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