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Math Help - substitution for differential equation

  1. #1
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    substitution for differential equation

    Thanks to anyone taking a look at this. Maybe I've been at it the homework too long, but I'm having trouble wrapping my mind around a initial value problem.

    dy/dt = 2 / (y - t )
    y(0) = 1
    use substition u = y - t to solve

    am I on the right track in thinking y = u + t, and therefore dy/dt = du/dt?

    thank you.
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  2. #2
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    Krizalid's Avatar
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    u=y-t\implies \frac{du}{dt}=\frac{dy}{dt}-1.

    Now substitute.
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  3. #3
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    Quote Originally Posted by Krizalid View Post
    u=y-t\implies \frac{du}{dt}=\frac{dy}{dt}-1.

    Now substitute.
    a big long "oooohhhhhh" right. thanks
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