17. Solve the following PDES: (i) (D² - DD' + D' - 1)u = cos(x + 2y) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Ans my question 17,18

17. Solve the following PDES:
(i) (D² - DD' + D' – 1)u = cos(x + 2y)
(ii) D(D – 2D' – 3)u = e**2y
(iii) (2D + D' – 1)°(D – 2D' + 2)³ = 0
18. Find the complete solution of the following PDES:
(i) (x²D² - 2xy DD' + y°D² - xD + 3yD')u = 8(y/x)
(ii) D(D – 2D' – 3)u = e**2y
%3D
%3D
Late solu
Transcribed Image Text:17. Solve the following PDES: (i) (D² - DD' + D' – 1)u = cos(x + 2y) (ii) D(D – 2D' – 3)u = e**2y (iii) (2D + D' – 1)°(D – 2D' + 2)³ = 0 18. Find the complete solution of the following PDES: (i) (x²D² - 2xy DD' + y°D² - xD + 3yD')u = 8(y/x) (ii) D(D – 2D' – 3)u = e**2y %3D %3D Late solu
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