What is the differential equation of all parabolas of the type y2 = 4a (x - b)?
1
\( \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 \)
2
\( \frac{d^2 y}{d x^2}+x^2\left(\frac{d y}{d x}\right)^2=0\)
3
\(y^2 \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 \)
4
\(y \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0\)