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Show that the transformation z = log tan (x/2) reduces the differential equation d²y +cotr +4x cosec²x=0 into + 4y = 0 dz² d²y 2 dx² dy dx

Show that the transformation z = log tan (x/2) reduces the differential equation d²y +cotr +4x cosec²x=0 into + 4y = 0 dz² d²y 2 dx² dy dx

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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Show that the transformation z = log tan (x/2) reduces the differential equation d² y dz² d²y dx² dy +cotr + 4x cosec²x=0 into +4y=0 dx
Transcribed Image Text:Show that the transformation z = log tan (x/2) reduces the differential equation d² y dz² d²y dx² dy +cotr + 4x cosec²x=0 into +4y=0 dx
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