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mathematics

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find the general solution to the following differential equation dy/dx=-(In(x))/(x^2)*y^1/2 (x>0,(y>0)give answer in implicit form.

  • mathematics -

    Use separation of variables. I don't know if the y^(1/2) is supposed to be in the denominator or not. Let's supposed it is not. Then

    dy/dx= -[(ln(x))/(x^2)]*y^1/2
    y(-1/2) dy = -ln(x)/x^2 dx

    Integrate both sides separately, and add a constant.

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