Figure I have problem with solving this rlc circuit, which we should detemine i for t>0. I have written kvl law and got this equations:`

0.04i'' + 1.21 i' + 4i = -50 which has this characterstic equation: 0.04s^2 + 30.25s + 100 = 0

s = -3.7, s= -26.4.

Are these equations correct? Unfortunately the solution only has the final answer which is different than mine. I'm currently self-studying so i couldn't ask anywhere else. would you please solve this circuit and determine i?



Well, assuming that all the initial conditions are equal to \$0\$. We can start the analysis.

We know that:


And we get:


Taking the inverse Laplace transform will to lead to this.


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