(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.

(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)=_____________________