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Math Help - Exact equation

  1. #1
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    Exact equation

    I already know this equation is not exact. The thing is, I never learned how to do partial derivatives so that is what I need help with. The equation is (e^xsiny+3y)dx-(3x-e^xsiny)dy=0
    I know that the sign in the middle needs to be + so then you have (e^xsiny+3y)dx+(-3x+e^xsiny)dy=0.
    Then M= e^xsiny+3y and N= -3e^x+e^xsiny. So, I need help getting M_y and N_x.
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  2. #2
    Junior Member
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    Quote Originally Posted by steph3824 View Post
    I already know this equation is not exact. The thing is, I never learned how to do partial derivatives so that is what I need help with. The equation is (e^xsiny+3y)dx-(3x-e^xsiny)dy=0
    I know that the sign in the middle needs to be + so then you have (e^xsiny+3y)dx+(-3x+e^xsiny)dy=0.
    Then M= e^xsiny+3y and N= -3e^x+e^xsiny. So, I need help getting M_y and N_x.
    To do partial derivatives, just hold all other variables that u r not taking the derivative constant

    So
     M_y = e^xcosy+3
    and
     N_x = -3e^x+e^xsiny
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