The charge q on the capacitor in a simple RLC circuit is governed by the equation L q^{\prime \prime}(t)+R q^{\prime}(t)+\frac{1}{C} q(t)=E(t) where L is the inductance, R the resistance, C

the capacitance, and E the voltage source. Since the resistance of a resistor increases with temperature, let's assume that the resistor is heated so that the resistance at time t is R(t) = 1+0 (see Figure 1).If L = 0.1 H, C = 2 F, E(t) = 0, q(0) = 10 C and q'(0) = 0 A, find at least the first four nonzero terms in Maclaurin series expansion about t = 0 for the charge on the capacitor.Ω