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Consider the partial differential equation au d'u d'u +b. +c=0. Ox² axoy dy For a 2, 6-1 and c= -6, find the constant p such that u(x, y) = (px + y)² is a solution of the partial differential equation at all points (x, y). p=2/3 (1) (11) p= 3/2 (III) p=-2 (IV) p= 1/2 (II) and (IV). (1) and (IV) Not possible to find a constant for p. (1) and (III) is and y

Consider the partial differential equation au d'u d'u +b. +c=0. Ox² axoy dy For a 2, 6-1 and c= -6, find the constant p such that u(x, y) = (px + y)² is a solution of the partial differential equation at all points (x, y). p=2/3 (1) (11) p= 3/2 (III) p=-2 (IV) p= 1/2 (II) and (IV). (1) and (IV) Not possible to find a constant for p. (1) and (III) is and y

Advanced Engineering Mathematics
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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Consider the partial differential equation a au d'u d'u +b. +c- =0. axdy dy ax² For a 2, b-1 and c= -6, find the constant p such that u(x,y)=(px + y)² is a solution of the partial differential equation at all points (x, y). (1) (11) (III) (IV) p=2/3 p = 3/2 p = -2 p= -1/2 (II) and (IV) (1) and (IV) Not possible to find a constant for p. (1) and (III) is and S
Transcribed Image Text:Consider the partial differential equation a au d'u d'u +b. +c- =0. axdy dy ax² For a 2, b-1 and c= -6, find the constant p such that u(x,y)=(px + y)² is a solution of the partial differential equation at all points (x, y). (1) (11) (III) (IV) p=2/3 p = 3/2 p = -2 p= -1/2 (II) and (IV) (1) and (IV) Not possible to find a constant for p. (1) and (III) is and S
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