Determine the funcitons f(x), g(x) with the differential operators Ln, n = 1, 2, 3, 4 that make the set of differential equations in the question suitable for shown form Soru :x>0 olmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklemtakımı(u'(x)+v'(x)– 2u(x)– v(x)–1/x=0-2u' (х) — v'(х)+и(х) —v(х) — х* —3х+1-0şeklinde 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'x-2ux-vx-1x=0-2u'x-v'x+ux+vx-x2-3x+1=0 ⇒…

Soru : x> 0 olmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem takımı u'(х) + v(х)— 2и(х) — v(х) —1/х-0 (-2u'(x)– v'(x)+u(x)– v(x)–x² – 3x+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.

Soru : x> 0 olmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem takımı u'(х) + v(х)— 2и(х) — v(х) —1/х-0 (-2u'(x)– v'(x)+u(x)– v(x)–x² – 3x+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.

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Determine the funcitons f(x), g(x) with the differential operators Ln, n = 1, 2, 3, 4 that make the set of differential equations in the question suitable for shown form

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.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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