The solution of d^2y dx^2 =0 represents: - Vidyadip

MCQ

The solution of $\frac{\text{d}^2\text{y}}{\text{dx}^2}=0$ represents:

✓
a straight line
B
a circle
C
a parabola
D
a point

✓

Answer

Correct option: A.

a straight line

$\Rightarrow\frac{\text{d}}{\text{dx}}\text{y}_1=0$
$\Rightarrow\int\text{dy}_1=\int0.\text{dx}+\text{c}_1$
$\Rightarrow\int\text{dy}_1=\text{c}_1$
$\Rightarrow\text{y}_1=\text{c}_1$
$\Rightarrow\frac{\text{dy}}{\text{dx}}=\text{c}_1$
$\Rightarrow\int\text{dy}=\int\text{c}_1\text{ dx}+\text{c}_2$
$\Rightarrow\text{y}=\text{c}_1\text{x}+\text{c}_2$ straight line

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