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The degree and the order of the differen...

The degree and the order of the differential `y=x((dy)/(dx))^2+((dx)/(dy))^2` are respectively

A

1,2

B

2,1

C

1,4

D

4,1

Text Solution

Verified by Experts

The correct Answer is:
D
` y=x ((dy)/(dx))^(2) + ((dx)/(dy))^(2) + ((dx)/(dy))^(2)`
` = x ((dy)/(dx))^(2) = ((dy)/(dx))^(-2)`
` Rightarrow y((dy)/(dx))^(2) =x.((dy)/(dx))^(4) +1`
So, degree =4 , order =1
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