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Question

For the following differential equation givne below indicate its order and degree (when defined)
d4ydx4sind3ydx3=0

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Solution

The given differential equations is
d4ydx4sin(d3ydx3)=0
Since, the higest order derivative which occurs in the given differential equation is d4ydx4. Thus, order of the given equation is 4, as sin(d3ydx3) occurs in the equation is not a polynomial equation. Hence, degree is not defined.

Note:In any differential equation, if a derivative is not in a polynomial equation, then we can find the order but degree cannot be determined.

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