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Consider the following differential equa...

Consider the following differential equations.
`D_(1) : y=4((dy)/(dx) )^2+ 3x , D_(2), (d ^(2)y)/(dx ^(2))= (3+ ((dy)/(dx)) ^(2) )^(4/3)D_(3):[1+ ((dy)/(dx))]^(2) = ((dy)/(dx)) ^(2)`
The ratio of the sum of the orders of `D_(1),D_(2)and D_(3)` to the sum of their degrees is

A

`1:2`

B

`1:1`

C

`2:3`

D

`3:2`

Text Solution

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The correct Answer is:
C
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