Consider the differential equation & : x"(t) – 4x' (t) + 4.x(t) = 0. (i) Find the solution of the differential equation &. (ii) Assume r(0) = 1 and x' (0) = 2 and find the solution of E associated to these conditions.
Consider the differential equation & : x"(t) – 4x' (t) + 4.x(t) = 0. (i) Find the solution of the differential equation &. (ii) Assume r(0) = 1 and x' (0) = 2 and find the solution of E associated to these conditions.
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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Transcribed Image Text:Consider the differential equation & : x"(t) – 4x'(t) + 4x(t) = 0.
(i) Find the solution of the differential equation &.
(ii) Assume x(0) = 1 and a'(0) = 2 and find the solution of E associated to these conditions.
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