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Math Help - Differential Equations

  1. #1
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    Differential Equations

    Find the function u(t) from the differential equation and the initial condition.
    du/dt= e^(1t-3.2u) u(0) = 2.6

    u(t) =
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  2. #2
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    Quote Originally Posted by BKennedy View Post
    Find the function u(t) from the differential equation and the initial condition.
    du/dt= e^(1t-3.2u) u(0) = 2.6

    u(t) =
    This is separable:
    e^{3.2u}~du = e^t~dt

    So integrate both sides and apply your initial condition.

    -Dan
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