In the preceding problem, if the surface emissivity ɛ is low and the convective heat transfer coefficient h is high, radiation may be neglected to obtain the governing equation as

\rho C V_{0} \frac{\mathrm{d} T}{\mathrm{~d} t}=-h A\left(T-T_{\infty}\right) Using the modified Euler's (second-order Runge-Kutta) method with a time step of 1 s, solve this problem for h= 100 W/m² K. Also solve this equation mathematically, and compare the numerical results with the analytical solution. Comment on the error in the numerical solution