If the substitution x = tan–1(t) transforms the differential equation d2y/dx2 + xy(dy/dx) + sce2x = 0 into a differential equation (1 + t2)d2y//dt2 + (2t + ytan-1(t))dy/dt = k then k is equal to
(a) –2
(b) 2
(c) –1
(d) 0
Correct option (c)
Explanation: