请问图中的问题如何求解？

500ic+1/s=500iL+10000ic/s
500ic+3.85siL=500iL+3.85
ic=(10000+38523s)/500/(77s²-1540s+200000)
iL=(77s-1520)/(77s²-1540s+200000)
uc=e^10t/641(641cos(10/77*t√148071)-333√148071sin(10/77*t√148071)

20IL+10000IL/s=25/s-0.5sIL+5/2
IL=5(s+10)/(s²+40s+20000)
Uc=25/s-10000/s*(5s+50)/(s²+40s+20000)
uc=25/7(7cos140t-99sin140t)e^(-20t)