Problem 8. (12 points) Consider the following initial value problem: 14, +16y= [0, 0t5 t>5 y(0)...

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Problem 8. (12 points) Consider the following initial value problem: 14, +16y= [0, 0≤t≤5 t>5 y(0) - 6, s/(0) = 0 First find the unit-step representation of the forcing function, i.e. the right side of the differential equation. The forcing function can be written as au(t-b) + cu(t-d) with constants a, b, c, d. Enter these numbers: B Using Y for the Laplace transform of y(t), i.e., Y = C(y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Problem 8. (12 points) Consider the following initial value problem: 14, +16y= [0, 0≤t≤5 t>5 y(0) - 6, s/(0) = 0 First find the unit-step representation of the forcing function, i.e. the right side of the differential equation. The forcing function can be written as au(t-b) + cu(t-d) with constants a, b, c, d. Enter these numbers: B Using Y for the Laplace transform of y(t), i.e., Y = C(y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for