The network contains a loop in which every element is a capacitor or voltage source. the other occurs if there in a node or supernode that is connected to the remainder of the circuit only by inductors and current sources When either of these events occurs, we meet the challenge by leaving a capacitor out of the tree in one case and omitting an inductor from the cotree in the other. Example Solution: 0.3H n=a.,+3e) 0.3i,-1.8te dt )r2u() U42=4(1+3e)=41+12e12 (+32)∴0.1+0.31-1:8e-+4i1+12e--2r2u(t)=0 3e 2tu(tk Or (4.5t-30)+5tu(t)The network contains a loop in which every element is a capacitor or voltage source, the other occurs if there in a node or supernode that is connected to the remainder of the circuit only by inductors and current sources. When either of these events occurs, we meet the challenge by leaving a capacitor out of the tree in one case and omitting an inductor from the cotree in the other. 2 2 0.3 1.8 ( 3 ) 0.3 ' 1 1 0.3 t t H i t e dt d i e − − = − +  = 2 2 4 4( 1 3 ) 4 1 12 t t i e i e − −   = + = + 10 (4.5 30) 5 ( ) 2 1 ' 1 2 or i i e t t u t t = − + − + − Solution: 0.1 0.3 1.8 4 12 2 ( ) 0 2 1 ' 1 ' 1 2 2  + − + + − = − − i i t e i e t u t t t 1 i 2 3 t e − ( 3 ) 2 1 t i e − + − + 2 ( ) 2 t u t − + 0.1H 2t u(t)V 2 e A t 2 3 − 0.3H 4 Example: