The solution of the differential equation 2x dy/dx - y = 3 represents a family of which of the following?
Answer & explanation
Correct answer: option 2
2x \(\frac{dy}{dx}\) - y = 3
\(\frac{dy}{y + 3}\) = \(\frac{dx}{2x}\)
2 log |y + 3| = log x + log C
(y + 3)2 = Cx
This represents a parabola on y-axis.