Question

The general solution of the DE (1 + x²) dy – xy dx = 0 is

A. y = C(1 + x²)

B. y² = C(1 + x²)

C. y √(1 + x²) = c

D. None of these

Answer 1

On integrating on both sides we get

Conclusion: Therefore, y² = ( 1 + x²) c is the solution of

(1 + x²) dy - xy dx = 0