Question Solve: x-x+ 5y₁ = + 4" - 4y - 2x² = -2 with x (0) = y(0) = x² (0) = y² (0) = 0 Let & {√x (²) } = U (²) & 2 (y (+)} = V(6) Evaluate U(2) Evaluate V(²) Evaluate x(1) Evaluate y(1)

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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Question.
Solve:
x" -x + 5y² = +
4" - 4y - 2x² = -2
with x (0) = y(0) = x²(0) = y₁ (0) = 0
Let & [ X (²) } = U (6) & & Gy (+) 2 = V(c)
Evaluate U(2)
Evaluate (²)
Evaluate x(1)
Evaluate y(1)
Transcribed Image Text:Question. Solve: x" -x + 5y² = + 4" - 4y - 2x² = -2 with x (0) = y(0) = x²(0) = y₁ (0) = 0 Let & [ X (²) } = U (6) & & Gy (+) 2 = V(c) Evaluate U(2) Evaluate (²) Evaluate x(1) Evaluate y(1)
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