R L (3)1 The electric circuit shown above is described by the system of differential equations: 0 d dt V RC where I is the current through the inductance and V is the voltage drop across the...

Linear/differencial

Extracted text: R L (3)1 The electric circuit shown above is described by the system of differential equations: 0 d dt V 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<>