Solution;
Using the equation;
Ldtdi+Ri=E
Rewrite;
dtDi+LRI=LE
The integrating factor;
I.F=e∫LRdt=eLRt
I put into the equation;
eLRT[dtdi+LRi]=eLRtLE
Integrating respectively;
I=RE+ceL−Rt
At t=0,i=0;
c=−RE
i=RE−REeL−Rt
Substitute the values;
i=100200−100200e4−100×2
I=9.837A
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