Q.1 (mcq) let f: - ) > -1,1) and g: r r be the function such that fr)+9() + fr)g(y) = 0 is the solution of following differential equation (e+1) cosr dr + e"(si

Q.1 (MCQ) Let f: - ) > -1,1) and g: R R be the function such that fr)+9() + fr)g(y) = 0 is the solution of following differential equation (e+1) cosr dr + e"(sinr + 1)dy = 0; lim y(r) = -o0 (0.1) then 1. f and g are bijective. 2. neitherf nor g is bijective. 3. fis bijective but g is not. 4. g is bijective but f is not. Q.2 (MCQ) The solution of the following differential equation dy 2ry +y: u(1) = (0.2) represents 1. parabola. 2. ellipse. 3. hyperbola. 4. circle