Question

Form the differential equation from the following primitive, where constant is arbitrary.

$xy=a^2$

• A. $\frac{dy}{dx}=y$
• B. $\frac{dy}{dx}=0$
• C. $x\frac{dy}{dx}+y=0$,
• D. None of these

Answer 1

The correct option is C

$x\frac{dy}{dx}+y=0$,

The equations of family of primitives is $xy=a^2$.

Differentiating with respect to x, we get

$x\frac{dy}{dx}+y=0$,

which is the required differential equation.