4. Find the charge on the capacitor in an LRC-series circuit if L = 1 henry, R = 4 ohms, C=0.2 farad, and E(t) = 120 volts. The initial charge and the initial current are both zero. Solve the ODE. dy 5. y dx = (2x-3)(21) 6. 2(x-2)(x-1) Find the general solution of the ODE. y"-6y+9y=x33x 7. Find the general solution of the ODE on (0,∞). 8. 9. x²y" xy+y=2x Solve the IVP. Answer in explicit form. State the interval of validity for your solution. dy dx x(x + 1) +xy = 1 y(e) = 1 Find the general solution of the ODE. y" + 4y = 3 sin(2x)

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