RLC Y Circuit (Part 4)

An RLC circuit is excited by two DC voltage sources. The switches close at time $t = 0$ , at which time the inductor and capacitor are de-energized.

Let $I_{min}$ and $I_{max}$ be the smallest and largest resistor current values over all time. Let $I_{0+}$ be the resistor current right after the switches close, and let $I_{\infty}$ be the steady-state resistor current as the elapsed time approaches infinity.

Determine the following ratio:

$\large{\frac{I_{min} + I_{max}}{I_{0+} + I_{\infty}}}$

Details and Assumptions:
1) All four current values are positive
2) $R = L = C = 1$
3) $V_{S1} = 10$
4) $V_{S2} = 15$