Question:

Calc Homework Separation of variables?

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show all work please 2xy' - lnx^2=0

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  1. 2xdy/dx  = lnX^2

    2xdy/dx = 2lnX

    dy/dx  =    lnX  /  X

          put lnX  = t    1/X  dx  = dt

    dy    = t dt

    y = 1/2  t^2+c

    y = 1/2 (lnX)^2+c

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