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n Problems 11– 30 use variation of parameters to solve the given system. dx 1. — Зх — Зу + 4 dt dy 3D 2х — 2у — 1 dt -

n Problems 11– 30 use variation of parameters to solve the given system. dx 1. — Зх — Зу + 4 dt dy 3D 2х — 2у — 1 dt -

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Problems 11–30 use variation of parameters to solve the given system. dx 11. — Зх — Зу + 4 dt dy 2х — 2у — 1 dt %3D | dx 12. = 2x – y dt dy Зх — 2у + 4t dt -5 X + -1 13. X' %3D 3
Transcribed Image Text:In Problems 11–30 use variation of parameters to solve the given system. dx 11. — Зх — Зу + 4 dt dy 2х — 2у — 1 dt %3D | dx 12. = 2x – y dt dy Зх — 2у + 4t dt -5 X + -1 13. X' %3D 3
sin 2t 14. X' = X + 2 cos 2t) 0 2 X + 1 15. X' = 0 2 X + 1 16. X' = e-3t 17. X' = 12 X + 18. X' = X + -1, te' 2e- 3 19. X' = -2 -1 (G) 3 20. X' = X + -2 sec t + 21. X' = 22. X' = + (cos t X + sin 23. X' = X + -- 24. X' = 0 1 |X + 25. X' = \sec t tan 1 X + 26. X' = cot t (csc t 27. X' = 2 1 X + \sec ´tan t 28. X' = х+ 1 1 et 29. X' = 1 1 0 X + 0 3 \te3t -1 30. X' = | 1 1 -1 X + 1 -1 2e'
Transcribed Image Text:sin 2t 14. X' = X + 2 cos 2t) 0 2 X + 1 15. X' = 0 2 X + 1 16. X' = e-3t 17. X' = 12 X + 18. X' = X + -1, te' 2e- 3 19. X' = -2 -1 (G) 3 20. X' = X + -2 sec t + 21. X' = 22. X' = + (cos t X + sin 23. X' = X + -- 24. X' = 0 1 |X + 25. X' = \sec t tan 1 X + 26. X' = cot t (csc t 27. X' = 2 1 X + \sec ´tan t 28. X' = х+ 1 1 et 29. X' = 1 1 0 X + 0 3 \te3t -1 30. X' = | 1 1 -1 X + 1 -1 2e'
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