A.) Consider the following initial value problem: y′′−5y′−6y=sin(4t) y(0)=6, y′(0)=6 Using Y for the Laplace transfor

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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.) Find a particular solution to y′′+6y′+5y=−9te^(5t)
C.) Find a particular solutionto y′′+36y=12sec(6t)
If completed correctly I promise I will upvote!