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(1 point) Consider the following initial value problem: y′′− 2y′− 35y = sin(6t), y(0)=1, y′(0)=4 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)=_____________________

(1 point) Consider the following initial value problem:y′′− 2y′− 35y = sin(6t),      

 y(0)=1,    y′(0)=4

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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