13. If y (x, t) is a function of x and t, prove that i) L. =py (x, p) – y (x, 0) 2. ii) L =p°y (x, p) – py (x, 0) – y, (x, 0) (ây =dy and iv) L{ where L{y(x, t)} =j (x, p). dx

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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=" and iv) L«
13. If y (x, t) is a function of x and t, prove that
i) L
= py (x, p) – y (x, 0)
ii) L
2=py (x, p) – py (x, 0) – y, (x, 0)
%3D
iii) L
ax
and iv) L
dx
where L{y(x, t)} =j (x, p).
%|
əx² dx?
Transcribed Image Text:=" and iv) L« 13. If y (x, t) is a function of x and t, prove that i) L = py (x, p) – y (x, 0) ii) L 2=py (x, p) – py (x, 0) – y, (x, 0) %3D iii) L ax and iv) L dx where L{y(x, t)} =j (x, p). %| əx² dx?
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