Number 65 in http://www.math.ucsb.edu/mathclub/GRE/GRE8767.pdf asks to find the graphs possible curves that satisfy the differential equation
$(\frac{dy}{dx})^2 + 2y \frac{dy}{dx} + y^2 = 0$
What method is used to solve this differential equation?
Number 65 in http://www.math.ucsb.edu/mathclub/GRE/GRE8767.pdf asks to find the graphs possible curves that satisfy the differential equation
$(\frac{dy}{dx})^2 + 2y \frac{dy}{dx} + y^2 = 0$
What method is used to solve this differential equation?
The given equation can be rewritten as: $ \left( \frac{dy}{dx} + y \right)^2 = 0. $
You should be able to go from here, assuming you know how to solve first order linear differential equations. I don't want to spoil the fun too much! :-)