Eliminating the arbitrary constants B and C in the expression y = `(2)/(3C) (C x- 1)^(3/2)` + B , we get ,

Options

A. A. `x [ 1 + ((dy)/(dx))^(2)]= (d^(2) y)/(dx^(2))`
B. B. `2x ((dy)/(dx)) (d^(2) y)/(dx^(2)) = 1 + ((dy)/(dx))^(2)`
C. C. `((dy)/(dx)) (d^(2) y)/(dx^(2)) = 1`
D. D. `((dy)/(dx))^(2) + 1 = (d^(2) y)/(dx^(2))`

Answer

B