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Write the given third order linear equation as an equivalent system of first order equations with initial values. 3 cos(t) y′ − 2y″" + (t − (1 + 3t¹)) y = −t with Use x₁ = y, x₂ = y', and x3 = y". with initial values x If you don't get this in 2 tries, you can get a hint. y(−2) = 3, y′(−2) = 3, y″(−2) = 2 x +

Write the given third order linear equation as an equivalent system of first order equations with initial values. 3 cos(t) y′ − 2y″" + (t − (1 + 3t¹)) y = −t with Use x₁ = y, x₂ = y', and x3 = y". with initial values x If you don't get this in 2 tries, you can get a hint. y(−2) = 3, y′(−2) = 3, y″(−2) = 2 x +

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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Use x₁ = y, x₂ = y', and x3 = y". x' = Write the given third order linear equation as an equivalent system of first order equations with initial values. - · 2y"" + (t − (1 + 3t¹)) y = −t y(−2) = 3, y′(−2) = 3, y″(−2) = 2 with initial values x = If you don't get this in 2 tries, you can get a hint. 3 cos (t) y' with 18
Transcribed Image Text:Use x₁ = y, x₂ = y', and x3 = y". x' = Write the given third order linear equation as an equivalent system of first order equations with initial values. - · 2y"" + (t − (1 + 3t¹)) y = −t y(−2) = 3, y′(−2) = 3, y″(−2) = 2 with initial values x = If you don't get this in 2 tries, you can get a hint. 3 cos (t) y' with 18
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