Differential Equations

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Solve the seperable differential equation for U.

du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12

  • Differential Equations -

    du/dt = e^5u * e^7t

    du/e^5u = e^7t dt

    e^-5u du = e^7t dt

    (1/-5) e^-5u = (1/7) e^7t + C

    7 e^-5u = -5 e^7t + c

    when t = 0, u = 12
    7 e^-60 = -5 + c
    c = 5 +7/e^60 or c is about 5

    7 e^-5u + 5 e^7t = 5

  • Algebra -

    Solve for u
    -29 + -4 + 5u

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