. If M [f(x); p] = F(p), then prove that M[x² d2²2 + x df; p] = dx ; p=p²F(p)

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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If M [f(x); p] = F(p), then prove that
M[x² ² 2 + x² ; p] =p²F(x
df;
d d²f
dx²
dx
Transcribed Image Text:If M [f(x); p] = F(p), then prove that M[x² ² 2 + x² ; p] =p²F(x df; d d²f dx² dx
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