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Can you walk me through the problem: Consider the following initial value problem: y″−5y′−36y=sin(6t) y(0)=7,y′(0)=7 Using Y for the Laplace transform of y(t), i.e., Y=L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s)

Can you walk me through the problem: Consider the following initial value

problem:

y″−5y′−36y=sin(6t) y(0)=7,y′(0)=7 Using Y for the Laplace transform of y(t), i.e., Y=L{y(t)}, 

find the equation you get by taking the Laplace transform of the differential equation and solve for  
Y(s)

 
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