19. Find the complete solution of the following PDES: (i) (D² + 3DD' + 2D²)u = x + y

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19. Find the complete solution of the following PDES:
(i) (D² + 3DD' + 2D²)u = x + y
(ii) (D² + D²)u = cos px cos qy
%3D
(iii) (D²- DD' – 2D²)u = (y – 1)e*
(iv) (4D² – 4DD' + D²)u = 16 log (x + 2y)
(v) (D² - 3DD' + 2D²)u = e2*+3y + sin (x – 2y)
Transcribed Image Text:19. Find the complete solution of the following PDES: (i) (D² + 3DD' + 2D²)u = x + y (ii) (D² + D²)u = cos px cos qy %3D (iii) (D²- DD' – 2D²)u = (y – 1)e* (iv) (4D² – 4DD' + D²)u = 16 log (x + 2y) (v) (D² - 3DD' + 2D²)u = e2*+3y + sin (x – 2y)
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