4. Apply the eigenvalue method to find a general solution of the following systems. (a) x1=5x1+x2+3x3x2=x1+7x2+x3x3=3x1+x2+5x3 (b) x1=x12x2x2=2x1+x2x1(0)=0x2(0)=4 (c) x1=2x1+x2x2=x1+4x2x1(0)=1x2(0)=0 5. For the circuit shown below, L1=L3=L, apply Kirchhoff's law to obtain: {I1I2}=L1[R1R1R3R22R2R3]{I1I2}+L1{E(t)E(t)} 6. Analyze the circuit in the figure, letting I be the current through the inductor and V the voltage across the capacitor. Please show that the governing equations are: I=IVV=2IV