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Math Help - Extended Linearity Principle

  1. #1
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    Extended Linearity Principle

    How can I solve these differential equations by using the Extended Linearity Principle.
    a) Find the general solution of the differential equation
    dy/dt = -4 y+ 3e^(-t)

    b) Solve the initial-value problem
    dy/dt +3y = cos 2t, y(0) = -1
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  2. #2
    A Plied Mathematician
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    Well, the Extended Linearity Principle says that you can solve the DE by adding together the homogeneous solution and any particular solution. So what's the homogeneous solution?
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