RLC Circuit: Solving for IL(t) | Step-by-Step Guide and Explanation

[2slowtogofast]

I need to find an expression for I_L(t) i attached scans of what i have tried. I am not sure i did it right could you please take a look

see post # 2 for my attempt at solution

 

[2slowtogofast]

apparently my scans didt not get attached here they are hopefully


https://www.physicsforums.com/attachment.php?attachmentid=30199&stc=1&d=1290978595
https://www.physicsforums.com/attachment.php?attachmentid=30199&stc=1&d=1290978595

 

[2slowtogofast]

anybody

 

[kevs926]

right so far, now plugin the equations of parallel rlc step response.