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If p and q are order and degree of diffe...

If p and q are order and degree of differential equation `y^(2)((d^(2)y)/(dx^(2)))^(2)+3x((dy)/(dx))^(1/3) + x^(2)y^(2) = sin x, then`

A

`p gt q`

B

`(p)/(q) = (1)/(2)`

C

`p = q`

D

`p lt q`

Text Solution

Verified by Experts

The correct Answer is:
D
`y^(2)((d^(2)y)/(dx^(2)))^(2)+x^(2)y^(2)- sin x = - 3x((dy)/(dx))^(1/3)`
`therefore" "(y^(2)((d^(2)y)/(dx^(2)))^(2)+x^(2)y^(2)- sin x)^(3) = - 27x^(3)((dy)/(dx))`
Here order = 2 = p
Degree = 6 = q
`therefore" "p lt q`
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