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Find the order and degree of the differe...

Find the order and degree of the differential equation.
`(d^(3)y)/(dx^(3))=sqrt(x+((dy)/(dx))^(3))`

Text Solution

Verified by Experts

`(d^(3)y)/(dx^(3))=sqrt(x+((dy)/(dx))^(3))`
`implies ((d^(3)y)/(dx^(3)))^(2)=x+((dy)/(dx))^(2)`
Here the highest order derivative is `(d^(3)y)/(dx^(3))`.
Therefore the order of the differntial equation is `3`.
The degree of highest derivative is `2`.
Therefore the degree of the differential equation is `2`.
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