The general solution of the differential d’y + y = f (x), xe (-0, 0), where dx? equation f is a continuous, real-valued function on (-00, 0), is (where A, B, C and k are arbitrary constants) (a) y(x) = Acos x+Bsinx+ [f (t) sin(x-t) dt (b) y(x) = cos (x+k)+ (t)s (x-t) dt %3D (c) y(x) = Acos x +B sin x + [ f (x-t)sint dt (d) y(x) = A cos x+Bsin x + | f (x+t)cost dt %3D

1. Find the derivative dy/dx for the function y = f(x) defined implicitly by (x, y) = 0 with p(x, y) = cos (r² + 3y) + xe³ - 1.

f(t) -dt t sin(rx) -? What is the value of f(5) if