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Math Help - differential equations

  1. #1
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    differential equations

    I'm having troubles solving this question:

    Given: 2tx(dx/dt) = 4t + 3x

    Rewrite this equation for y(t) = x(t) and then solve it.

    I'd probably know how to solve it, but i don't know how to rerwrite it!

    Thanks!
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  2. #2
    GJA
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    Re: differential equations

    Hi jones123,

    If y(t)=x(t)^{2}, then the chain rule says \frac{dy}{dt}=2x\frac{dx}{dt}. So \frac{1}{2x}\frac{dy}{dt}=\frac{dx}{dt}. Now use this and y=x^{2} to make substitutions in the orginal DE and try to solve the new equation for y(t).

    Does this clear things up? Good luck!
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  3. #3
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