Asap plz Consider the initial value problem for function y given by,where u(t-c) denotes the step function with step at t = c.y"-y-12y=4u(t) sin(21). y(0) = 0,Part 1: Finding F(x)- Part 2: Finding Y (s)(b) Find the Laplace Transform of the solution, Y(s) = a[y()].Y(s) = -8e^(-pi s/2)/(s^2+4)(-4)(3+3))Note: We are asking for the Laplace Transform of the solution, Y (s), not for the solution y(t).Part 3: Rewriting Y (8)- Part 4: Finding y(t)(d) Use the expresion of Y (s) found in (b) to write the solution y(t) asYn (t)=y(t) = Aya(t) + Bys(t) + Cyc()+DYp (1).where A, B, C, D are the same constants found in the previous part. Find the functions ya. Ya. yc. YD.YA (t) =ΣYe(t)=YD (t)=ΣMy (0) = 0.Σ

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Answered: Consider the initial value problem for…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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Consider the initial value problem for function y given by. y"-y-12y=4u(t) sin(21). where u(t-c) denotes the step function with step at t = c. y(0) = 0, y (0) = 0.