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Math Help - First order DE

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    First order DE

    how do i solve this differential equation

    dQ/dt = 50000 - (Q/160)??
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by razorfever View Post
    how do i solve this differential equation

    dQ/dt = 50000 - (Q/160)??
    you have Q' = 5000 - \frac Q{160}

    \Rightarrow Q' + \frac Q{160} = 5000

    now, find the integrating factor...here it is e^{t/160}, so we have

    e^{t/160}Q' + \frac 1{160} e^{t/160}Q = 5000e^{t/160}

    now finish up...
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