How to get state space model form circuit

Hello, I have this circuit and I must represent it in state space. I know the process because I have done similar ones but having an inducter (L) in circuit. I have found the Kirchhoff equtations for the 2 loops and for the upper juction, whatever I do I cant end up to two equations x'1 and x'2. Thanks in advance.

• first loop: V(t)=V(R1)+V(c1)+V(R2)
• second loop: V(R3)+V(c2)=V(R2)+V(c1)
• juction: i(R1)=i(R3)+i(c1)

I know that V(C1)=x1 ,and V(c2)=x2 and i(c1)=c1*x'1 , i(c2)=c2*x'2