(1 point) Consider the following initial value problem: y" - 5y6y= sin(4t) y(0) = 6, y' (0) = 6 Using Y for the Laplace

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1 Point Consider The Following Initial Value Problem Y 5y6y Sin 4t Y 0 6 Y 0 6 Using Y For The Laplace 1 (39.06 KiB) Viewed 44 times

(1 point) Consider the following initial value problem: y" - 5y6y= 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 the Laplace transform of the differential equation and solve for Y(s) = (506/119)e^(-s)+(157/91) e^(6s)-(11/442)sin(4s)