Mathematics · Differential Equations

Which of the following differential equations represents Malthusian (exponential) population growth, where x is population, t is time, and k is a positive constant?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1dxdt = -kx
2dxdt = kx✓
3dtdx = -kx
4dtdx = kx

Correct answer

dxdt = kx

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Which of the following differential equations represents Malthusian (exponential) population growth, where x is population, t is time, and k is a positive constant?

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Which of the following differential equations represents Malthusian (exponential) population growth, where x is population, t is time, and k is a positive constant?

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