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For each of the differential equations g...

For each of the differential equations given below, indicate its order and degree ( if defined ).
`(d^(4)y)/(dx^(4))-sin((d^(3)y)/dx^(3))=0`

Text Solution

Verified by Experts

The correct Answer is:
Order-4, degree not defined
`(d^(4)y)/(dx^(4))-sin(d^(3)y)/(dx^(3))=0`
The highest-order derivative present in the differential equation is `(d^(4)y)/(dx^(4))`. Thus, its order is four.
However, the given diifferential equation is not a polynomial equation, Hence, its degree is not defined.
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