e2-s 2-¹ (6-3)) - O [(-1/3) +e^(3(t-1))/3] e^2 U(t-1) O [(-1/3)+e^(4(t-1))/3] e^2 U(t-1) O None of them

I-7 (s-1)(s +2), %3D O (1/3) e^t-(1/3)e^(-2t) (1/3) e^2t-(1/3)e^(-2t) O (1/3) e^(t-1)-(1/3) e^(-2(t-1))]U(t-1) None of them Using the method of undetermined coefficients, a particular solution of the differential equation y" + 2y-8y = 5xe* is %31 False True

Find the inverse transform of the equation below. R(s) = (s+7) / (s^2-3s-10) A (12/7)e^(-2t) - (5/7)e^(5t) В (12/7)e^(-5t) + (5/7)e^(-2t) (12/7)e^(5t) + (5/7)e^(2t) D) (5/7)e^(5t) - (12/7)e^(-2t) E (12/7)e^(5t) - (5/7)e^(-2t)

Y1 Entered Y4 1 1 t t^2 e^(-2*t) t*[e^(-2*t)] (t^2) *[e^(-2*t)] (t^3)*[e^(-2*t)] At least one of the answers above is NOT correct. [e^(1*t)]*cos(1*t) e(-21) [e^(1*t)]*sin(1*t) 37 = 3(-21) 3/2 t Y3 2 Y5 te Ys -21 Answer Preview Y6 1²e (-21) el cos(lt) (You can enter your answers in any order.) 1 Y9 t t² -21 -21 te t²e-2t A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. t³e-2t (²6r+18)r³(r − 3)¹ = 0 Write the nine fundamental solutions to the differential equation as functions of the variable t. elt cos(lt) e¹t sin(lt) Result correct e¹f sin (lt) correct correct incorrect incorrect incorrect incorrect incorrect incorrect