Question

The order of the differential equation whose solution is

$x^{2} + y^{2} + 2gx + 2fy + c = 0,$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (C)

3

Answer 2

To eliminate the arbitrary constants g, f and c, we need 3 more equations, that by differentiating the equation 3 times. Hence highest order derivative will be $\frac{d^{3}y}{dx^{3.}}$. Hence order of the differential equation will be 3.