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Let x(1) = x{ (1) = x₂2 (1) = If x(0) = x₁ (1) x₁ (t) = 4 exp(t x₂ (1) -4 B -4 Put the eigenvalues in ascending order when you enter x₁ (1), x₂ (1) below. t) X₂ (1) = t exp( t t) be a solution to the system of differential equations -25 x₁(1) + 10 x₂ (1) -60 x₁(t) + 25 x2 (1) , find x(t). exp(-25 1) + 10 exp(-60 1) + 25

Let x(1) = x{ (1) = x₂2 (1) = If x(0) = x₁ (1) x₁ (t) = 4 exp(t x₂ (1) -4 B -4 Put the eigenvalues in ascending order when you enter x₁ (1), x₂ (1) below. t) X₂ (1) = t exp( t t) be a solution to the system of differential equations -25 x₁(1) + 10 x₂ (1) -60 x₁(t) + 25 x2 (1) , find x(t). exp(-25 1) + 10 exp(-60 1) + 25

Advanced Engineering Mathematics
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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Let x(t) = x{(t) x₂ (1) = = If x(0) = x₁ (1) [ x2 (1) X₁ (t) = 4 exp(t -4 [1] -4 Put the eigenvalues in ascending order when you enter x₁(1), x₂(1) below. exp(-25 t) + 10 t t) x₂ (1) = exp(t t) be a solution to the system of differential equations: + -25 x₁(1) -60 x₁(t) + , find x(t). 10 x₂(1) 25 x₂(1) exp(-60 1) + 25
Transcribed Image Text:Let x(t) = x{(t) x₂ (1) = = If x(0) = x₁ (1) [ x2 (1) X₁ (t) = 4 exp(t -4 [1] -4 Put the eigenvalues in ascending order when you enter x₁(1), x₂(1) below. exp(-25 t) + 10 t t) x₂ (1) = exp(t t) be a solution to the system of differential equations: + -25 x₁(1) -60 x₁(t) + , find x(t). 10 x₂(1) 25 x₂(1) exp(-60 1) + 25
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