Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Find the general solution of the differential equation : y' = \(\frac{x+1}{2-y}\); y\(\neq \)2

Options:

x2 + y2 + 2x + 4y + C = 0

x2 + y2 + 4x + 2y + C = 0

x2 + y2 + 2x - 4y + C = 0

x2 + y2 + 4x - 2y + C = 0

Correct Answer:

x2 + y2 + 2x - 4y + C = 0

Explanation:

\(\frac{dy}{dx}\) = \(\frac{x+1}{2-y}\)

dy.(2-y) = dx.(x+1) and then integrate to get :

x2 + y2 + 2x - 4y + C = 0