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Homework Help: Differential Equation in circuit question

  1. Feb 10, 2010 #1
    1. The problem statement, all variables and given/known data

    In a circuit with capacitance C, inductance L and resistance R the current I(t)
    satisfies the differential equation

    L d2I(t)/dt2 + R dI(t)/dt + I(t)/C = V(t)

    where V (t)
    is the voltage supplied.
    a) Find the general solution to this differential equation
    for the case that the resistance can be neglected, R = 0,
    and the voltage is constant, V (t) = V0.
    b) Determine the solution of part a) that satisfies the initial conditions I(0) = 0 and dI/dt(0) = 0

    2. Relevant equations



    3. The attempt at a solution

    As this is a linear second order ODE, with constant coefficients, I have tried calculating the homogeneous equation (place V(t)=0) but cannot seem to get an answer, and I am not sure what ansatz to use.

    please help
     
  2. jcsd
  3. Feb 10, 2010 #2

    vela

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    Show us what you have so far so we can see where you're getting stuck.
     
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