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 ?

Updated On: Jul 23, 2025
  • P is a homogeneous ODE and Q is an exact ODE.
  • P is a homogeneous ODE and Q is not an exact ODE.
  • P is a nonhomogeneous ODE and Q is an exact ODE.
  • P is a nonhomogeneous ODE and Q is not an exact ODE.
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The Correct Option is B

Solution and Explanation

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