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Math Help - Solving 1st order ODE

  1. #1
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    Solving 1st order ODE

    Solving 1st order ODE-11unled.jpg

    Having some trouble, thanks. Im not sure what d_t(u) and :u(with the . above it) means. Would appreciate some help.
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  2. #2
    A Plied Mathematician
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    Re: Solving 1st order ODE

    The symbol := means that the thing on the colon side is being defined as what's on the equals side. So the notation there is merely that

    \frac{du}{dt} is entirely equivalent to d_{t}u, which is entirely equivalent to \dot{u}.

    The actual differential equation is

    \dot{u}=g(t)u+h(t),\;u(0)=u_{0}.

    That, and the hint provided should get you started. What ideas do you have now?
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  3. #3
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    Re: Solving 1st order ODE

    Thanks, will give it a try!
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