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

1. ## 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).

2. I'd try the two solutions to the quadratic equation.

3. Originally Posted by wlh03212
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