Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The solution of the differential equation 2x dy/dx - y = 3 represents a family of which of the following?

Options:

Straight line

Parabola

Ellipse

Hyperbola

Correct Answer:

Parabola

Explanation:

2x \(\frac{dy}{dx}\) - y = 3

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

2 log |y + 3| = log x + log C

(y + 3)= Cx

This represents a parabola on y-axis.