Form the differential equation by eliminating the arbitrary constant from the equation `x^(2)//a^(2) + y^(2)//b^(2) = 1`

Options

A. `xy (d^(2) y)/(dx^(2)) + x ((dy)/(dx))^(2) - y (dy)/(dx) = 0`
B. `xy(d^(2)y)/(dx^(2)) + x ((dy)/(dx))^(2) + y (dy)/(dx) = 0`
C. `xy (d^(2)y)/(dx^(2)) -x ((dy)/(dx))^(2) -y (dy)/(dx) = 0`
D. `xy (d^(2)y)/(dx^(2)) -x ((dy)/(dx))^(2) + y (dy)/(dx) = 0`

Answer

A