Please box answers I will upvote if right! A.) Consider the following initial value problem: y′′−5y′−6y=sin(4t) y(0)=6

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Please box answers I will upvote if right!
A.) Consider the following initial value problem:
y′′−5y′−6y=sin(4t) y(0)=6, y′(0)=6
Using Y for the Laplace transform of y(t),i.e., Y=L{y(t)}, find the equation you get by taking theLaplace transform of the differential equation and solve for
Y(s) = _____________
B.) Consider the following initial value problem:
y′′+64y = {(2t, 0<=t<2), (0, t>=2)} <---- piecewise
y(0)=0, y′(0)=0
Using Y for the Laplace transform of y(t),i.e., Y=L{y(t)}, find the equation you get by taking theLaplace transform of the differential equation and solve for
Y(s) = ____________________