Question

If the solution curve of the differential equation dy/dx = x + y - 2 / x - y passes through the point (2,1) and (k + 1,2), k > 0, then

(A) 2 tan^-1 (1/k) = log_e (k² + 1)

(B) tan^-1 (1/k) = log_e (k² + 1)

(C) 2 tan (1/k) = log_e (k² + 1)

(D) 2 tan¹ (1/k) = log_e (k² + 1)

Answer 1

(A) 2 tan^-1 (1/k) = log_e (k² + 1)