Question

Q2 (a) Solve the following differential equation. y'' - y' + 2y = 0 (b) The circuit shown in Figure 1 contains an electromotive force (supplied by a battery or generator), a resistor R, an inductor L, and a capacitor C, in series. switch E R L C Figure 1: An electrical circuit in series A differential equation for the charge, Q(t) can be represented by the following differential equation: L d^2Q / dt^2 + R dQ / dt + 1/C Q = E(t). By using an appropriate method, find the charge at time t in the circuit of Figure 1 if R = 30 ohm, L = 1 H, C = 25 × 10^-4 F, E(t) = 150 sin 2t, and the initial charge and current are both zero.

          Q2 (a) Solve the following differential equation.
y'' - y' + 2y = 0

(b) The circuit shown in Figure 1 contains an electromotive force (supplied by a battery or generator), a resistor R, an inductor L, and a capacitor C, in series.

switch
E
R
L
C

Figure 1: An electrical circuit in series

A differential equation for the charge, Q(t) can be represented by the following differential equation:
L d^2Q / dt^2 + R dQ / dt + 1/C Q = E(t).

By using an appropriate method, find the charge at time t in the circuit of Figure 1 if R = 30 ohm, L = 1 H, C = 25 &times; 10^-4 F, E(t) = 150 sin 2t, and the initial charge and current are both zero.

Q2 (a) Solve the following differential equation.
y” - y' + 2y = 0

(b) The circuit shown in Figure 1 contains an electromotive force (supplied by a battery or generator), a resistor R, an inductor L, and a capacitor C, in series.

switch
E
R
L
C

Figure 1: An electrical circuit in series

A differential equation for the charge, Q(t) can be represented by the following differential equation:
L d^2Q / dt^2 + R dQ / dt + 1/C Q = E(t).

By using an appropriate method, find the charge at time t in the circuit of Figure 1 if R = 30 ohm, L = 1 H, C = 25 times; 10^-4 F, E(t) = 150 sin 2t, and the initial charge and current are both zero.

Added by Logan E.

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