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When the following PDE ?u Ət + In(x) exp(t)- is solved using Method of Separation 2² u əx² the function X satisfies the ODE = ?u əx exp(x) exp(t)- u(x, t) = X(x)T(t) A(x)X" + B(x)X' +p²X = 0 where A(x) and B(x) are functions. By finding expressions for A(x) and B(x), give the absolute value of A(x) when x = 0.1 and t = 2.

When the following PDE ?u Ət + In(x) exp(t)- is solved using Method of Separation 2² u əx² the function X satisfies the ODE = ?u əx exp(x) exp(t)- u(x, t) = X(x)T(t) A(x)X" + B(x)X' +p²X = 0 where A(x) and B(x) are functions. By finding expressions for A(x) and B(x), give the absolute value of A(x) when x = 0.1 and t = 2.

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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When the following PDE ?u Ət + In(x) exp(t)- is solved using Method of Separation 2² u əx² the function X satisfies the ODE = ?u əx exp(x) exp(t)- u(x, t) = X(x)T(t) A(x)X" + B(x)X' +p²X = 0 where A(x) and B(x) are functions. By finding expressions for A(x) and B(x), give the absolute value of A(x) when x = 0.1 and t = 2.
Transcribed Image Text:When the following PDE ?u Ət + In(x) exp(t)- is solved using Method of Separation 2² u əx² the function X satisfies the ODE = ?u əx exp(x) exp(t)- u(x, t) = X(x)T(t) A(x)X" + B(x)X' +p²X = 0 where A(x) and B(x) are functions. By finding expressions for A(x) and B(x), give the absolute value of A(x) when x = 0.1 and t = 2.
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