ORDINARY DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS 1. Use the operator method (method of elimination) to solve the following system of ordinary differential equations: + ỷ + 2x = 0 * + ý – x - y = sin t. NB: Eliminate y first.
ORDINARY DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS 1. Use the operator method (method of elimination) to solve the following system of ordinary differential equations: + ỷ + 2x = 0 * + ý – x - y = sin t. NB: Eliminate y first.
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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ORDINARY DIFFERENTIAL EQUATIONS
PLEASE ANSWER ALL QUESTIONS
1.
Use the operator method (method of elimination) to solve the following
system of ordinary differential equations:
i + ỷ + 2x = 0
i + ỷ – x – y = sin t.
NB: Eliminate y first.
2.
Reduce the system
(D² + 1)[2] – 2D[y] = 2t
(2D – 1)[x] + (D – 2) [y] = 7.
to an equivalent triangular system of the form
P1(D)[y] = f1(t)
P3(D)[r] + P3(D)[y) = f2(t)
and solve.
07:03 PM
2022-05-18 Page: 1 of 1
Words: 9
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2:1·1•I 11• 2:1:3:1·4: 15.1 6:1 7:18•1 9.1 10. 11· I·12: 1 •13. 1 14: I 15. 1 : 17: 1 18.
W
ORDINARY DIFFERENTIAL EQUATIONS
PLEASE ANSWER ALL QUESTIONS
1.
Use the operator method (method of elimination) to solve the following
system of ordinary differential equations:
i + ỷ + 2x = 0
i + ỷ – x – y = sin t.
NB: Eliminate y first.
2.
Reduce the system
(D² + 1)[2] – 2D[y] = 2t
(2D – 1)[x] + (D – 2) [y] = 7.
to an equivalent triangular system of the form
P1(D)[y] = f1(t)
P3(D)[r] + P3(D)[y) = f2(t)
and solve.
07:03 PM
2022-05-18 Page: 1 of 1
Words: 9
昆 昌 90%
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