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