The Cauchy - Euler differential equation x²y" -xy' +y = 0 has the solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. The Cauchy - Euler differential equation x²y" -xy'
(A) y=C₁e* +C₂xe*
(C) x² =y'-y +1
+y = 0 has the solution
(B) y=
(D)
e* +xe*
y=x+C
+C
(E) y=x(C₁+C₂ lnx)
Transcribed Image Text:7. The Cauchy - Euler differential equation x²y" -xy' (A) y=C₁e* +C₂xe* (C) x² =y'-y +1 +y = 0 has the solution (B) y= (D) e* +xe* y=x+C +C (E) y=x(C₁+C₂ lnx)
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