2 points Save Ans QUESTION 1 What is the inverse Laplace transform of the function: 2s - 3 $2 - 2s+ 10 O 2e 'cos3t+ -e sin3t 3 O 5 2e'cos 3t+ -e'sin 3t 3 O 2e 'cos3t - -e sin 3t 3 O 5 2e 'cos3t- -e 'sin 3t 3QUESTION 2 What is the Laplace transform of the function: sin ( t+ 2) O s cos 1 2 sin 1 s2+ 4 $2+ 4 O cos 2 s sin 2 + s2+ 1 s2+ 1 O s cos 2 sin 2 $2+ 1 $2+ 1 O 2 cos 1 s sin 1 + s2+ 4 5 2+ 4QUESTION 3 2 points Save Answer After we apply the Laplace transform to the equation y "+ 2y'+ 2y =e, given the initial conditions y (0) =0, y'(0) = 1, we obtain the following: O IN 10 10 + S - 2 s2+ 25+ 2 O -S+ U N 5 Ly= + s - 2 s2+ 25+ 2 O 1 S s+ 1 s2+ 25+ 2 O 1 - s+2 + s - 2 $2 - 25+ 2QUESTION 4 What is the solution of the following initial value problem? -2 1 x'= 1 -2 x, x(0) = 2 O X= N - - 31 O X= N W -31 O X= N K e le - 3t O X= N K le -t N / W le - 3t