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Math Help - another differential equation

  1. #1
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    another differential equation

    (dy/dt) + y = cos (e^t)??? how???
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  2. #2
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    Quote Originally Posted by crafty View Post
    (dy/dt) + y = cos (e^t)??? how???
    Integrating factor

    \mu = e^t

    so

    \frac{d}{dt} \left( e^t y \right) = e^t \cos e^t

    \int d \left( e^t y \right) = \int e^t \cos e^t\, dt + c

    I trust you can do the rest.
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