(16 pts) Indicate the kind of the equations below (each selection is worth 1 pt.):

y

^{(4)}+ sin(t)·y^{(3)}+ y = 1Order 4, Linear, Nonhomogeneous, Variable coefficients. t

^{4}y" + sin(y)·y' + y = 1Order 2, Nonlinear, Nonhomogeneous, Variable coefficients. y

^{(4)}+ y^{(3)}+ y = sin(t)Order 4, Linear, Nonhomogeneous, Constant coefficients. y

^{(4)}+ y^{(3)}= yOrder 4, Linear, Homogeneous, Constant coefficients.