Question

Consider two Ordinary Differential Equations (ODEs) :
$P:\frac{dy}{dx}=\frac{x^4+3x^2y^2+2y^4}{x^3y}$
$Q:\frac{dy}{dx}=\frac{-y^2}{x^2}$
Which one of the following options is CORRECT ?

• A. P is a homogeneous ODE and Q is an exact ODE.
• B. P is a homogeneous ODE and Q is not an exact ODE.
• C. P is a nonhomogeneous ODE and Q is an exact ODE.
• D. P is a nonhomogeneous ODE and Q is not an exact ODE.

Answer 1

Answer: (B)

P is a homogeneous ODE and Q is not an exact ODE.

Answer 2

The correct option is (B) : P is a homogeneous ODE and Q is not an exact ODE..