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Write the given third order linear equation as an equivalent system of first order equations with initial values. 2y" ty" - y' sin(t) = cos(t) with y(-3) = 2, y'(-3) = 2, y'(-3) = −3 Use x₁ = y, x₂ = y, and x3 =y". = 0 0 sin t with initial values 1 = 1 0 -t 2 2 -3 0 1 0 x + If you don't get this in 2 tries, you can get a hint. 0 0

Write the given third order linear equation as an equivalent system of first order equations with initial values. 2y" ty" - y' sin(t) = cos(t) with y(-3) = 2, y'(-3) = 2, y'(-3) = −3 Use x₁ = y, x₂ = y, and x3 =y". = 0 0 sin t with initial values 1 = 1 0 -t 2 2 -3 0 1 0 x + If you don't get this in 2 tries, you can get a hint. 0 0

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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Write the given third order linear equation as an equivalent system of first order equations with initial values. 2y" ty" y' sin(t) = cos(t) with y(-3) = 2, y'(-3) = 2, y'(-3) = −3 Use x₁ = y, x₂ = y', and x3 =y". = 0 0 - sin t with initial values 1 = 1 0 -t 2 2 -3 0 1 0 x + If you don't get this in 2 tries, you can get a hint. 0 0
Transcribed Image Text:Write the given third order linear equation as an equivalent system of first order equations with initial values. 2y" ty" y' sin(t) = cos(t) with y(-3) = 2, y'(-3) = 2, y'(-3) = −3 Use x₁ = y, x₂ = y', and x3 =y". = 0 0 - sin t with initial values 1 = 1 0 -t 2 2 -3 0 1 0 x + If you don't get this in 2 tries, you can get a hint. 0 0
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