Question.. Solve: *"-x + 5y² = + 4" - 4y - 2x² = -2 with x (0) = y(0) = x² (0) = y² (0) = 0 Let & [ x (t) 3 = 4 (²) & < (y (+)} = V(c)

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

Evaluate U(2)
Evaluate V(2)

Evaluate x(1)

Evaluate y(1)

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(c)
12. Evaluate
U(2)
13. Evaluate V (²)
14. Evaluate
IS.
x (1)
Evaluate y(1)
Transcribed Image Text: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(c) 12. Evaluate U(2) 13. Evaluate V (²) 14. Evaluate IS. x (1) Evaluate y(1)
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