Question

The differential equation $\frac{dy}{dx}=2$ represents

• A. A straight line of slope $2$ units
• B. A circle with radius $2$ units
• C. A parabola with foci $2$ units
• D. None of these

Answer 1

The correct option is A A straight line of slope $2$ units

$\frac{dy}{dy}=2$

$\Rightarrow dy=2dx$

Integrating on both sides

$\int dy=\int 2dx$

$\Rightarrow y=2x+c$

straight line of slope $2$.