Find the general solution of the system by solving the differential equations in the image separately. - u"(x) + 2u'(x) – u(x) = - + -x' + 5x – 4%3D– v"(x) + 2r'(x) – 3v(x) = - + + 2r² + 4x – 1 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 differential equations are -u''(x)+2u'(x)-u(x)=-1x2+1x-x2+5x-4 Auxiliary equation is…

Answered: – u"(x) + 2u'(x) – u (x) = - + -x + 5x…

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– u"(x) + 2u'(x) – u (x) = - + -x + 5x – 4 %3D

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 21CR

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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

Find the general solution of the system by solving the differential equations in the image separately.

- u"(x) + 2u'(x) – u(x) = - + -x' + 5x – 4
%3D
– v"(x) + 2r'(x) – 3v(x) = - + + 2r² + 4x – 1

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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