Suppose that the accelerationvector isa(t) = (e²t + 2t, e²t – 3,0)and also that the velocity vectorat t = 0 is v(0) = (23/1,7,0)and the position vector at t = 05is r(0) = ( 21, 21,0).Find r(t).

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Answered: Suppose that the acceleration vector is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that the acceleration vector is a(t) = (e²t + 2t, e²t – 3,0) and also that the velocity vector at t = 0 is v(0) = (3/2, 1⁄2, 0) 7 and the position vector at t = 0 5 9 is r(0) = ( 21, 22, 0). 4 Find r(t).