Engineering S-Domain mesh equations and equivalent circuit

[DODGEVIPER13]

Homework Statement

For the circuit given in Fig 15.53, (a) draw the s-domain equivalent; (b) write the three s-domain mesh equations; (c) determine i1, i2, and i3.

Homework Equations

Laplace Transform table
Zc=1/SC
Zl=SL

The Attempt at a Solution

I have uploaded my work but what I am wondeering is do my equations look ok.
In case the equations can't be read here they are Mesh#1: -((2)/(S+1))+(2/S)i1+3(i1-i2)=0
Mesh#2: 3(i2-i1)+0.5S(i2-i3)+(4/S)=0 Mesh#3: 0.5S(i3-i2)+i3=0

 

[gneill]

Your mesh equations look okay to me.