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QUESTION 3 Solve the following partial differential equation d²u dx² .2 =1²x by direct integration subject to the following boundary conditions du (0,1) -=t, u(0,1)=0 dx Determine the value of u(x, 1) when x = 1 and t = 3.1. Enter your answer, correct to 3 decimal places, in the box provided. h

QUESTION 3 Solve the following partial differential equation d²u dx² .2 =1²x by direct integration subject to the following boundary conditions du (0,1) -=t, u(0,1)=0 dx Determine the value of u(x, 1) when x = 1 and t = 3.1. Enter your answer, correct to 3 decimal places, in the box provided. h

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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QUESTION 3 Solve the following partial differential equation d²u dx ² by direct integration subject to the following boundary conditions ди(0,1) -=t, u(0,1)=0 dx Determine the value of u(x,t) when x = 1 and 1 = 3.1. Enter your answer, correct to 3 decimal places, in the box provided. =1²x
Transcribed Image Text:QUESTION 3 Solve the following partial differential equation d²u dx ² by direct integration subject to the following boundary conditions ди(0,1) -=t, u(0,1)=0 dx Determine the value of u(x,t) when x = 1 and 1 = 3.1. Enter your answer, correct to 3 decimal places, in the box provided. =1²x
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