The differential equation determining the changes of moles of component A during the

$9$

reaction is given by:

$\frac{d{C}_A}{dt}=-\frac{10e^{-\frac{t}{25}}{C}_A^2}{1+2C_A}.$

The initial concentration of $A$ in the reactor is $20.$ Solve this differential equation by the second$-$order Runge$-$Kutta method up to $t=2.$ Use $h=0\mathrm{.}5.$