thank you and please help

? Discussions D Question 7 4 pts Zoom Conferences Honorlock Find a general solution a (t) to the given differential equation Collaborations t2 a " + 5x =0, t>0 Office 365 O x (t ) = tt [ CI cos ( Point ) + cz sin ( Tint ) ] GatorEvals O x(t) = tz ci cos ( not) + cz sin (20t) ] O x(t) = 12 [ ci cos ( 3 Int) + c2 sin (?Int) ] O x (t ) = 12 [ CI cos ( Point) + cz sin (Point) ] O x(t) = tz ci cos ( 20 Int) + c2 sin (20 int)]Discussions Zoom Conferences D Question 9 4 pts Honorlock Collaborations Using the method of undetermined coefficients, determine the form of a particular solution yp(t) of the given differential equation. (Do not evaluate the coefficients). Office 365 y" ty = sin(t) + tcos(t) + et GatorEvals O Up (t) = (Alt + Ao) cos(t) + (Bit + Bo) sin(t) + C. et O Up (t) = (Alt2 + Aot) t cos(t) + (Bit2 + Bot) t sin(t) + C. et O Up (t) = ( Aot) t cos(t) + (Bot) t sin(t) + C . et O Up (t) = (Alt + Ao) t2 cos(t) + (Bit + Bo) t2 sin(t) + Ct . et O yp (t) = (Alt + Ao) t cos(t) + (Bit + Bo)t sin(t) + C. etDiscussions Zoom Conferences D Question 8 4 pts Honorlock Collaborations Using the method of undetermined coefficients, determine the form of a particular solution yp(t) of the given differential equation. (Do not evaluate the coefficients). Office 365 y" + 5y' + 6y = sin(t) - cos(2t) GatorEvals O Up (t) = At cos(t) + Bt sin(t) + Ct cos(2t) + Dt sin(2t) O yp (t) = At sin(t) + Bt cos(2t) O yp (t) = At cos(t) + Bt sin(t) + C cos(2t) + D sin(2t) O yp (t) = A cos(t) + B sin(t) + C cos(2t) + D sin(2t) O Up (t) = At2 cos(t) + Bt2 sin(t) + C cos(2t) + D sin(2t)