Question

The solution of $\frac{d^{2}y}{d{x}^2}=0$ represents

• A. a straight line
• B. a circle
• C. a parabola
• D. a point

Answer 1

Answer: (A)

a straight line

$\frac{d}{dx}{y}_1=0$
$\Rightarrow \int d{y}_1=\int 0.dx+c_1$
$\Rightarrow \int d{y}_1=c_1$
$\Rightarrow y_1=c_1$
$\frac{dy}{dx}=c_1$
$\int dy=\int c_{1}dx+c_2$
$\Rightarrow y=c_{1}x+c_{2}straightline$