R L (3) The electric circuit shown above is described by the system of differential equations: 1 0 d L dt RC where I is the current through the inductance and V is the voltage drop across the capacitor. The system can be derived using Kirchoff's Laws and definitions of resistance (R), inductance (L), and capacitance (C). We will take it as a given! (a) Show that the eigenvalues of the coefficient matrix are real and distinct if L> 4R2C and that they are complex and conjugate if L < 4R2C. (b) Suppose that R 1 ohm, C 5 farad, and L above system in this case. = 1 henry. Find the general solution to the
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please answer part (b)
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