When solving a differential equation using the Laplace transform, you apply the Laplace transform to both sides of the equation and then solve for Y(s) before applying the inverse Laplace transform. Find Y (s) for the initial value problem y" – 5y' + 6y = h(t – 1) with y(0) = 1 and y'(0) = 0. s+5 O Y = e (s-3)(s-2) (s-3)(8–2) s+1 O Y = - s(s-3)(s-2) (s-3)(s-2) e (s-1) (8-1)(s-3)(s-2) 8-5 Y = + (s-3)(s-2) 1 OY e s(s–3)(s–2) + (s-3)(8-2) O Y = + (8-3)(s-2) 8-5 s(8-3)(s-2)

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…