1. GivenX' =X3e2t(a) Verify that X₁(t) = (e) and X2(t) = (et)-are solutions to the given system.(b) Verify that X₁(t) and X2(t) form a fundamental set on the interval (-∞, ∞).(c) Write the general solution to the given system.(d) Find the solution that satisfies the initial condition X(0) = ( 2 ).

Answered: 1. Given X' = X 3 e2t (a) Verify that…

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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