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x = c e + c2t e“ O x"- 36x'+ 12x 0 6. O x"- 12x' + 36x = 0 %3D O x"+ 12x'- 36x = 0 O x" - 4x'+ 9x = 0

x = c e + c2t e“ O x"- 36x'+ 12x 0 6. O x"- 12x' + 36x = 0 %3D O x"+ 12x'- 36x = 0 O x" - 4x'+ 9x = 0

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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SECTION 1.2 ELIMINATION OF ARBITRARY CONSTANTS x = c, e + c21 e* O x"- 36x'+ 12x = 0 O x"+ 12x'- 36x = 0 6. x"- 12x'+ 36x = 0 x"- 4x'+ 9x = 0 7. y = cj e' sin 31 + cz e' cos 31 O y"+ 2y'- 10y 0 y"- 10y'+ 2y 0 O 2y"- y'+ 10y 0 O y"- 2y'+ 10y 0 x= cj e" + cz e'- 21 e O x"- 2x'- 3x = 8 e O x" + 2r'+ 3x = 8 e' 8. O x"- 3x'- 2r 8 e O x" - 2x'+ 3x = 8 e' v = Cie" + c2 we"+ c3 ew O D'v-9 D'v- 3 Dv - 5 v = 0 O D'v-3 D'r-9 Dv + 5 v= 0 D'v-3 D'v-9 Dv - 5 v 0 9. O D'v - 5 D'v- 3 Dv- 5 v 0 100 10. s= Cje + c2 e" cos 5t + cz e" sin 51 + 123 O Sim + 5 su + 17 s - 123 s = 100 O Su + 17 su + 5 s – 100 s = 123 O Su - 5 Su + 17 s + 123 s = 100 O Sm + 5 Su + 17 s - 100 s = 123 %3D
Transcribed Image Text:SECTION 1.2 ELIMINATION OF ARBITRARY CONSTANTS x = c, e + c21 e* O x"- 36x'+ 12x = 0 O x"+ 12x'- 36x = 0 6. x"- 12x'+ 36x = 0 x"- 4x'+ 9x = 0 7. y = cj e' sin 31 + cz e' cos 31 O y"+ 2y'- 10y 0 y"- 10y'+ 2y 0 O 2y"- y'+ 10y 0 O y"- 2y'+ 10y 0 x= cj e" + cz e'- 21 e O x"- 2x'- 3x = 8 e O x" + 2r'+ 3x = 8 e' 8. O x"- 3x'- 2r 8 e O x" - 2x'+ 3x = 8 e' v = Cie" + c2 we"+ c3 ew O D'v-9 D'v- 3 Dv - 5 v = 0 O D'v-3 D'r-9 Dv + 5 v= 0 D'v-3 D'v-9 Dv - 5 v 0 9. O D'v - 5 D'v- 3 Dv- 5 v 0 100 10. s= Cje + c2 e" cos 5t + cz e" sin 51 + 123 O Sim + 5 su + 17 s - 123 s = 100 O Su + 17 su + 5 s – 100 s = 123 O Su - 5 Su + 17 s + 123 s = 100 O Sm + 5 Su + 17 s - 100 s = 123 %3D
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