# Find inductor current with Laplace

I need to find the inductor current for t > 0 and initial conditions as in example below. I think it's enough to divide V1 by 5*s and take the inverse Laplace Transform but my answer 3*e^-2*t - 7*e^-t + 4 is not the same as the book answer. It has +3 instead of my +4. It seems to be that book answer adds -1A initial current to my answer but I can't fully understand why it's so. It's clear that the original nodal equation was created with taking initial values of capacitor voltage and inductor current into account and it's not need to make any manipulations to current result, because the nodal difference V1 to ground already takes into account the existence of the inductor's initial current.

My solution is:

Multisim part of question is placed in another post: Multisim setup transient analysis with initial conditions

• Please provide an attempt at a solution, if your posting homework Dec 12, 2017 at 17:44
• @laptop2d My solution is simple and was added to post Dec 12, 2017 at 17:52