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s"F(s) – s-f(0) – s"-2 f" (0) – x' = -5x - 8y pts) Solve the initial value problemy' = x+y by using eigenvalue solutions. (x(0) = -1, y(0) = 1

s"F(s) – s-f(0) – s"-2 f" (0) – x' = -5x - 8y pts) Solve the initial value problemy' = x+y by using eigenvalue solutions. (x(0) = -1, y(0) = 1

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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Table of Laplace Transforms Lự)} = e-"F(e)dt = F(s) 1 e f(e) F(s-a) s>0 10. t". n= 1,2,3 Heaviside/Step Function • s>0 n! 11. (t) = u(t - a) VE 12. u(t)f(t-a) eF(s) 232 eat Convolution F(s)G(s) 13. f g= f()s(t – u)du S-a OR LUO) Le()} fe#f(t)dt 1-e sin bt f(e +T) = f(t) 14. s2 + b2 Dirac Delta Function cos bt + h2 5 >0 15. 6(t -c) (-1)=*(F(s)) ds" fO . n = 1,2,3 F(u)du 16. F(s) f'(t) sF(s) – f(0) 17. S"F(s) –s-1f (0) – s-2r(0) –.- sf(a-2 (0) -f"(0) - sf=-2 (0) – fla-1" 0) (x' = -5x – 8y pts) Solve the initial value problemy' = x+y by using eigenvalue solutions. (x(0) = -1, y(0) = 1
Transcribed Image Text:Table of Laplace Transforms Lự)} = e-"F(e)dt = F(s) 1 e f(e) F(s-a) s>0 10. t". n= 1,2,3 Heaviside/Step Function • s>0 n! 11. (t) = u(t - a) VE 12. u(t)f(t-a) eF(s) 232 eat Convolution F(s)G(s) 13. f g= f()s(t – u)du S-a OR LUO) Le()} fe#f(t)dt 1-e sin bt f(e +T) = f(t) 14. s2 + b2 Dirac Delta Function cos bt + h2 5 >0 15. 6(t -c) (-1)=*(F(s)) ds" fO . n = 1,2,3 F(u)du 16. F(s) f'(t) sF(s) – f(0) 17. S"F(s) –s-1f (0) – s-2r(0) –.- sf(a-2 (0) -f"(0) - sf=-2 (0) – fla-1" 0) (x' = -5x – 8y pts) Solve the initial value problemy' = x+y by using eigenvalue solutions. (x(0) = -1, y(0) = 1
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