A $12-$volt battery is connected to a series circuit in which the inductance is henry and the resistance is $10$ohms. Determine the current $i$ if the initial current is zero. This can be done by solving the following ordinary differential equation:

$\frac{1}{2}\frac{di}{dt}+10i=12,$

With $i(0)=0$

Solve the above equation for current, $i$ as a function of time, by using timestep, $h=0\mathrm{.}2$ using Euler method. Also solve up to time, $t=1\mathrm{.}0$