Second Order ODE/y y'' = (y')^2

Theorem
The second order ODE:
 * $(1): \quad y y'' = \left({y'}\right)^2$

has the solution:
 * $y = C_2 e^{C_1 x}$

Proof
Using Solution of Second Order Differential Equation with Missing Independent Variable, $(1)$ can be expressed as: