The solution of the differential equation $2 x \frac{d y}{d x}-y=3$ represent
Answer & explanation
Correct answer: option 3
$2 x \frac{d y}{d x}=y+3 \Rightarrow 2 \frac{d y}{y+3}=\frac{d x}{x}$
⇒ 2log(y + 3) = log x + log c
⇒ (y + 3)2 = ex, which represent parabolas.
Hence (3) is the correct answer.