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" Show that the substitution JAx + B| = 'e², or z = In |Ax + BỊ, will reduce the equation dy a(Ax + B)? - d²y + b(Ax + B) + cy = 0 dx? dx

" Show that the substitution JAx + B| = 'e², or z = In |Ax + BỊ, will reduce the equation dy a(Ax + B)? - d²y + b(Ax + B) + cy = 0 dx? 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 substitution JAx + B| = 'e², or z = In JAx + BI, will reduce the equation d²y dy a(Ax + B)? dx? + b(Ax + B) + cy = 0
Transcribed Image Text:Show that the substitution JAx + B| = 'e², or z = In JAx + BI, will reduce the equation d²y dy a(Ax + B)? dx? + b(Ax + B) + cy = 0
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