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Math Help - New here and to Differential Equations...does this make sense?

  1. #1
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    New here and to Differential Equations...does this make sense?

    Or is it just wishful thinking?

    F=ma

    a=F/m

    dv/dt=F/m

    dv= F/m dt

    Acceleration is the first derivative of velocity. Integrate

    delta V= F/m*t

    That seems to make sense. Did I do this right or just get lucky?

    Fermion
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  2. #2
    Super Member Showcase_22's Avatar
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    I'd say that makes sense.

    That's a pretty cool way of thinking about it!
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  3. #3
    MHF Contributor

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    Assuming that F is a constant, yes it is. If F is a function of t, you would need to integrate rather than just multiplying by t. If F is a function of v, as some friction forces are, you would need to move it to the left side of the equation before integrating.
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