Identify the differential operators Ln,n = , 1, 2, 3, 4, which makes it convenient to write the set of differential equations given in the question in the form shown.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Identify the differential operators Ln,n = , 1, 2, 3, 4, which makes it convenient to write the set of differential equations given in the question in the form shown.

Soru 2:
xeRolmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem
takımı
Su'(x) +v'(x)– 2u(x)–-v(x) = 0
1-2u'(x) –v'(x)+ u(x) = 0
şeklinde verilmiş olsun.
Soruda verilen diferansiyel denklem takımını
SLu(x)+Lv(x)= 0
Lu(x)+ L,v(x) = 0
formunda yazmaya elverişli kılan L, , n=1,2,3,4 diferansiyel operatörlerini belirleyiniz.
Transcribed Image Text:Soru 2: xeRolmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem takımı Su'(x) +v'(x)– 2u(x)–-v(x) = 0 1-2u'(x) –v'(x)+ u(x) = 0 şeklinde verilmiş olsun. Soruda verilen diferansiyel denklem takımını SLu(x)+Lv(x)= 0 Lu(x)+ L,v(x) = 0 formunda yazmaya elverişli kılan L, , n=1,2,3,4 diferansiyel operatörlerini belirleyiniz.
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