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Determine order and degree (if defined) of differential equations given in \[\mathbf{y’’’}\text{ }+\text{ }\mathbf{2y’}\text{ }+\text{ }\mathbf{sin}\text{ }\mathbf{y}\text{ }=\text{ }\mathbf{0}\]
Determine order and degree (if defined) of differential equations given in \[\mathbf{y’’’}\text{ }+\text{ }\mathbf{2y’}\text{ }+\text{ }\mathbf{sin}\text{ }\mathbf{y}\text{ }=\text{ }\mathbf{0}\]
CBSE | Class 12 | Differential Equations | Exercise 9.1 | NCERT
Determine order and degree (if defined) of differential equations given in \[\mathbf{y’’’}\text{ }+\text{ }\mathbf{2y’}\text{ }+\text{ }\mathbf{sin}\text{ }\mathbf{y}\text{ }=\text{ }\mathbf{0}\]

The highest order derivative present in the differential equation is  and its order is 2.

The given differential equation is a polynomial equation in derivative  and . It may be noted that  is not a polynomial function of , it is a T-function of  but is not a T-function of derivatives and the highest power raised to highest order derivative  is one so its degree is one.

Hence, order is 2 and degree is 1.

i

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