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Math Help - Another exact equation prob.

  1. #1
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    Another exact equation prob.

    Determine whether the equation is exact. If it is exact, then solve the equation.

    ((y/x) +6x)dx+(lnx-2)dy=0<br />

    My books answer key says that this equation is exact, but I don't see how. Your M=(y/x)+6x and your N=lnx-2.

    So taking the partial derivative M_y=(1/x)+6x and N_x=1/x.

    I am pretty sure this is correct, so how is it possible that the equation is exact if the two partial derivatives are not equal?
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  2. #2
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    Quote Originally Posted by steph3824 View Post
    Determine whether the equation is exact. If it is exact, then solve the equation.

    ((y/x) +6x)dx+(lnx-2)dy=0<br />

    My books answer key says that this equation is exact, but I don't see how. Your M=(y/x)+6x and your N=lnx-2.

    So taking the partial derivative M_y=(1/x)+6x and N_x=1/x.

    I am pretty sure this is correct, so how is it possible that the equation is exact if the two partial derivatives are not equal?
    M=(y/x)+6x

    M_y=(1/x)
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