Solve for the reactant concentration, $C$ as a function of time, $t$ as it participates in a chemical reaction.

The following differential equation describes dependence of $C$ on $t$ :

$\frac{dC}{dt}=-3\frac{C}{t}+\frac{e^{-t}}{t^3}$

Initially, concentration is given by $C_0(=100)$

Plot C vs t

Also, minima and maxima of concentration as applicable