Which of the following equations depicts Verhulst-Pearl logistic population growth? [NEET 2026]

\(\frac{\mathrm{dN}}{\mathrm{dt}}=\mathrm{rN}\left(\frac{\mathrm{K}-\mathrm{N}}{\mathrm{K}}\right)\)

\(\frac{\mathrm{dN}}{\mathrm{dt}}=\mathrm{rN}\left(\frac{\mathrm{K}+\mathrm{N}}{\mathrm{K}}\right)\)

\(\frac{\mathrm{dN}}{\mathrm{dt}}=\mathrm{rN}\left(\frac{\mathrm{K}}{\mathrm{K}-\mathrm{N}}\right)\)

\(\frac{\mathrm{dN}}{\mathrm{d}\overset{}{\mathrm{t}}}=\mathrm{rN}\left(\frac{\mathrm{K}-\mathrm{N}}{\mathrm{N}}\right)\)