(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)=_____________________