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By direct partial integration, Solve the following PDES - X²Z @ ♥ dx dy += ४५ 5 Ans: 7 = x² + x + Z X 824 axdy. 5 4 , z(x,0) = X²+X, Z (2, y) = 3y) 2 6² 68 буч X X = co3x cosy, u(x, #) = X X-² 2 Ans: u(x,y) = sinx siny. + 2 U (#₂ y) = +2 cosy - 12/²2 2 = 2 cosy

By direct partial integration, Solve the following PDES - X²Z @ ♥ dx dy += ४५ 5 Ans: 7 = x² + x + Z X 824 axdy. 5 4 , z(x,0) = X²+X, Z (2, y) = 3y) 2 6² 68 буч X X = co3x cosy, u(x, #) = X X-² 2 Ans: u(x,y) = sinx siny. + 2 U (#₂ y) = +2 cosy - 12/²2 2 = 2 cosy

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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3 By direct partial integration, Solve the following PDES - хоче ахду SZ @ 5 - w. t = X + X + ♥ дzu ахбу 2 Ans 3 исx, y) w 5 Z(x,0) =x+x, Z(2,y)-зуч бул - 68 1 X и(x,п) = сезх созу, бохисх;#) =X, U(п, y) = 2 cosy = sinx siny + 2 +2 + 2 соту - 2
Transcribed Image Text:3 By direct partial integration, Solve the following PDES - хоче ахду SZ @ 5 - w. t = X + X + ♥ дzu ахбу 2 Ans 3 исx, y) w 5 Z(x,0) =x+x, Z(2,y)-зуч бул - 68 1 X и(x,п) = сезх созу, бохисх;#) =X, U(п, y) = 2 cosy = sinx siny + 2 +2 + 2 соту - 2
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