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Trying to solve a first-order differential equation (Ramp Function in a Circuit)

  1. Mar 11, 2010 #1
    1. I am trying to find i(t) through an inductor in a thevenin-reduced circuit. I come down to the equation di/dt+8i=0.2v(t) where v(t) is the ramp function 4r(t).

    2. So the simplified equation is di/dt+8i=0.8t.

    3. I found the homogenous equation (i=Ae^(-8t)) but I cannot figure out how to get the particular solution. The initial condition is i(0)=0.

    Thanks for any help
  2. jcsd
  3. Mar 11, 2010 #2


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    Use the method of undetermined coefficients, or use an integrating factor to solve the differential equation.
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