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Only through the elimination method by using the operators obtained in the solution paper above, obtain the differential equations provided by the functions u(x) and v(x)

Only through the elimination method by using the operators obtained in the solution paper above, obtain the differential equations provided by the functions u(x) and v(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 40E
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Only through the elimination method by using the operators obtained in the solution paper above, obtain the differential equations provided by the functions u(x) and v(x)

Soru : x>0 olmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem takımı (u'(x)+v'(x)– 2u(x)– v(x)–1/x=0 -2u' (х) — v'(х)+и(х) —v(х) — х* —3х+1-0 şeklinde verilmiş olsun. Soruda verilen diferansiyel denklem takımını [ Lu(x)+L,v(x)= f(x) |Lu(x)+L,v(x) =g(x) formunda yazmaya elverişli kılan L, , n=1,2, 3, 4 diferansiyel operatörleri ile f(x), g(x) fonksiyonlarını belirleyiniz.
Transcribed Image Text:Soru : x>0 olmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem takımı (u'(x)+v'(x)– 2u(x)– v(x)–1/x=0 -2u' (х) — v'(х)+и(х) —v(х) — х* —3х+1-0 şeklinde verilmiş olsun. Soruda verilen diferansiyel denklem takımını [ Lu(x)+L,v(x)= f(x) |Lu(x)+L,v(x) =g(x) formunda yazmaya elverişli kılan L, , n=1,2, 3, 4 diferansiyel operatörleri ile f(x), g(x) fonksiyonlarını belirleyiniz.
Given that u'(x)+v'ro) -aucox) -v(x)-=0 ー3x +1 =o u(x) +v(s) -2u(x) -V(z) =ー ニ) -2u'1x) -v'cx) +ucx) r(x) 2 ニx +3x- Let D = d DU(I) + DV(x) – 24(x) -V(x) =L そ ー2 Du(x) - Dv(x) +4(x) -V(x) =x+32-1 (D -2)U (x) + (D-2) v(x) =t ニ) + (-D -Dvx) = x²+3x-1 { L, u (x) + L2Vc3x) =Frx) L34(x) + L4 v(x) = g(2) where L, = L、 こー) D-2, = -20 41 La = -D-| ーコ f(x)- 女 and 3(x)ミ x+3x -)
Transcribed Image Text:Given that u'(x)+v'ro) -aucox) -v(x)-=0 ー3x +1 =o u(x) +v(s) -2u(x) -V(z) =ー ニ) -2u'1x) -v'cx) +ucx) r(x) 2 ニx +3x- Let D = d DU(I) + DV(x) – 24(x) -V(x) =L そ ー2 Du(x) - Dv(x) +4(x) -V(x) =x+32-1 (D -2)U (x) + (D-2) v(x) =t ニ) + (-D -Dvx) = x²+3x-1 { L, u (x) + L2Vc3x) =Frx) L34(x) + L4 v(x) = g(2) where L, = L、 こー) D-2, = -20 41 La = -D-| ーコ f(x)- 女 and 3(x)ミ x+3x -)
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