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Math Help - Solving equation of the form (dy/dx)^2+(c 1)(dy/dx) + (c2)x=0

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    Solving equation of the form (dy/dx)^2+(c 1)(dy/dx) + (c2)x=0

    Can i can solve this equation (dy/dx)^2+(c 1).(dy/dx) + (c2).x=0 using quadratic forumla? experts please help!!

    Note there is a variable x after (c2).
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  2. #2
    MHF Contributor matheagle's Avatar
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    I'd try the two solutions to the quadratic equation.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by wlh03212 View Post
    Can i can solve this equation (dy/dx)^2+(c 1).(dy/dx) + (c2).x=0 using quadratic forumla? experts please help!!

    Note there is a variable x after (c2).
    \displaystyle (y')^2 + c_1(y') + c_2x = 0 \implies y' = \frac{-c_2 \pm \sqrt{c_1^2 - 4c_2x}}{2}

    Now integrate.

    -Dan
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