function dy = sineG(t, y, A, Alpha, Gamma, N)

% Initialization.
N1 = N + 1;
N2 = 2*N;
dy = zeros(N2,1);

% The discretized equations.
dy(1:N,1) = eye(N)*y(N1:N2,1);
dy(N1:N2,1) = A*y(1:N,1) - sin(y(1:N,1)) - Alpha*y(N1:N2,1) + Gamma;