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The solution of the differential equation $2 x \frac{d y}{d x}-y=3$ represent |
straight lines circles parabolas ellipses |
parabolas |
$2 x \frac{d y}{d x}=y+3 \Rightarrow 2 \frac{d y}{y+3}=\frac{d x}{x}$ ⇒ 2log(y + 3) = log x + log c ⇒ (y + 3)2 = ex, which represent parabolas. Hence (3) is the correct answer. |
