Please need an answer asap

Suppose y1(t) = -6t's and y2(t) = 3 are both solutions of the second order linear homogeneous equation y" + p(t)y' + q(t)y = 0. Which of the following below is NOT guaranteed to also be a solution of the same equation? (check one) A. y= -6t4 - 6 OB. y = 2 Oc. y = 0 OD. y =-5+3 + 2 OE. y = -5t3 OF. All of the above are solutions a. Use the method of undetermined coefficients to find a particular solution to the nonhomogeneous differential equation y" + 4y' =-5e #. Make sure you evaluate the coefficient(s). Up = help ( formulas ) b. Find the solution of the corresponding homogeneous equation. Use ci and C2 in your answer to denote arbitrary constants, and enter them as c1 and c2. ye = help ( formulas ) c. Find the most general solution to the original nonhomogeneous differential equation. Use c, and cy in your answer to denote arbitrary constants. y = cl + cze At be 4 help (formulas)