Mathematics · Differential Equations
Consider two ordinary differential equations (ODEs): P: dydx = x4 + 3x2y2 + 2y4x3y Q: dydx = -y2x2 Which one of the following options is CORRECT?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1P is a non-homogeneous ODE and Q is an exact ODE.
- 2P is a homogeneous ODE and Q is not an exact ODE.✓
- 3P is a non-homogeneous ODE and Q is not an exact ODE.
- 4P is a homogeneous ODE and Q is an exact ODE.
Correct answer
P is a homogeneous ODE and Q is not an exact ODE.
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