A bacterial infection in an internal wound grows as $\mathrm{N}^{\prime}(\mathrm{t})=\mathrm{N}_0 \exp (\mathrm{t})$, where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as $\frac{\mathrm{dN}}{\mathrm{dt}}=-5 \mathrm{~N}^2$. What will be the plot of $\frac{\mathrm{N}_0}{\mathrm{~N}}$ vs. t after 1 hour?