Question

The solution of the differential equation 2x $\frac{dy}{dx}$– y = 3

represents :

• A. Circles
• B. Straight lines
• C. Ellipse
• D. Parabola

Answer 1

Answer: (D)

Parabola

Answer 2

2x$\frac{dy}{dx}$ – y = 3

2x $\frac{dy}{dx}$= y + 3

2$\int_{}^{}\frac{dy}{y + 3}$ = $\int_{}^{}\frac{dx}{x}$

2log(y + 3) = log x + log c

(y + 3)² = xc

which is parabola