Question

The differential equation of all non-vertical lines in a plane is:

• A. $\frac{d^{2}y}{d{x}^2}=0$
• B. $\frac{d^{2}x}{d{y}^2}=0$
• C. ${}^{\frac{dy}{dx}=0}$
• D. $\frac{dx}{dy}=0$

Answer 1

The correct option is A $\frac{d^{2}y}{d{x}^2}=0$

$\Rightarrow$ equation of non vertical then
in $y=mx+c$
$\Rightarrow y_1=m$
$\Rightarrow y_2=0$
$\Rightarrow \frac{d^{2}y}{d{x}^2}=0$