• x'y" - 2x² y" –2.xy' + y = 0 2,x? d²y dy +5x+y = 3x+ 2 dx dx? Oa(Ax+B)' dx? Oa(Ax+ B) + b(Ax + B)ª. +b(Ax+ B) + y =0 dx
• x'y" - 2x² y" –2.xy' + y = 0 2,x? d²y dy +5x+y = 3x+ 2 dx dx? Oa(Ax+B)' dx? Oa(Ax+ B) + b(Ax + B)ª. +b(Ax+ B) + y =0 dx
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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![Solve the Following Euler's (or Cauchy's) Equations:
(1) x'y" - 2x y" – 2xy'+ y = 0
(2) 24 d'y
dy
+5x-
+ y = 3x+2
dx
dx?
(3) a(Ax+ B)
a(Ax + B) d°y
dy
+b(Ax+ B)-
dx
dz
hint : Let z = In(Ax+ B)=
dx
А
+ y =0
dx?
Ах + B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de751ce-d0b4-477e-8168-a98ebf0c920e%2F19ff44d2-33e8-4241-bbc2-750155c7ddd4%2Fs0tgqnh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the Following Euler's (or Cauchy's) Equations:
(1) x'y" - 2x y" – 2xy'+ y = 0
(2) 24 d'y
dy
+5x-
+ y = 3x+2
dx
dx?
(3) a(Ax+ B)
a(Ax + B) d°y
dy
+b(Ax+ B)-
dx
dz
hint : Let z = In(Ax+ B)=
dx
А
+ y =0
dx?
Ах + B
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