Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function./"+ 4x'y = 2x5(t – 1),y(0) = 0, y (0) - 0.a. Find the Laplace transform of the solution.Y(s) = L{u(t}}b. Obtain the solution y(t).C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1.if 0

The given differential equation is: y''+4π2y=2πδ(t-1) ; y(0)=0, y'(0)=0

Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. "+ 4n'y 2n5(t - 1), y(0) = 0, v (0) - 0. a Find the Laplace transform of the solution. Y(s) L{(t)} b. Obtain the solution y(t). v(t) C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1 if 0st<1, y(t) if 1

Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. "+ 4n'y 2n5(t - 1), y(0) = 0, v (0) - 0. a Find the Laplace transform of the solution. Y(s) L{(t)} b. Obtain the solution y(t). v(t) C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1 if 0st<1, y(t) if 1

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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