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Math Help - Differential Equation

  1. #1
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    Differential Equation

    I'm having some trouble with this problem


    can i separate it into dy/dx=(8y)(ln(x))(1/x) or am I approaching it wrong?

    this is what I got when I tried it



    thanks
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  2. #2
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    Quote Originally Posted by jason0 View Post
    I'm having some trouble with this problem


    can i separate it into dy/dx=(8y)(ln(x))(1/x) or am I approaching it wrong?

    this is what I got when I tried it



    thanks
    \frac{dy}{y} = \frac{8\ln{x}}{x} \, dx

    \ln|y| = 4\left(\ln{x}\right)^2 + C

    note where the square is on the right side.
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  3. #3
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    I agree with your answer.
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  4. #4
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    Quote Originally Posted by pickslides View Post
    I agree with your answer.
    Quote Originally Posted by skeeter View Post
    \frac{dy}{y} = \frac{8\ln{x}}{x} \, dx

    \ln|y| = 4\left(\ln{x}\right)^2 + C

    note where the square is on the right side.
    Got it, was just needed to take out the abs value on the right side, thanks
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