Consider the IVP x" + 3x + 2x = H(t− 1)H(3 – t), x(0) = x' (0) = 0, where H (t) is the Heaviside step function. Find the correct solution, expressed as a convolution, among the options below 0, Sile-t+r. -e-2t+2r] dr, Si le-t+r -e-2t+²T]dt, Ox(t) = f[e¹ + 2e¯²7]H(t − 7)H(7 − t + 1)dr 0, t = [0,3) t€ [1,3] t> 3 x(t) = x(t) = x(t) = 2[e-te-2t], 0 0, t = [0, 3) te [1, 3] t> 3 fedr, ₁³e-2(t-¹)dt, t = [0,3) te [1, 3] t> 3
Consider the IVP x" + 3x + 2x = H(t− 1)H(3 – t), x(0) = x' (0) = 0, where H (t) is the Heaviside step function. Find the correct solution, expressed as a convolution, among the options below 0, Sile-t+r. -e-2t+2r] dr, Si le-t+r -e-2t+²T]dt, Ox(t) = f[e¹ + 2e¯²7]H(t − 7)H(7 − t + 1)dr 0, t = [0,3) t€ [1,3] t> 3 x(t) = x(t) = x(t) = 2[e-te-2t], 0 0, t = [0, 3) te [1, 3] t> 3 fedr, ₁³e-2(t-¹)dt, t = [0,3) te [1, 3] t> 3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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