xyy"+kry (ry-y) =0 diferansiyel denklemini uygun bir dönüşüm ile Cauch Euler denklemine yiniz. Elde ettiğiniz Cauch Euler denklemini çözünüz. dy dy y/ = ak sabit sayı; y": dir. d.r2 dr sterme: z keyfi bir fonksiyon olmak üzere y = z(u) dönüşümü uygulayabilirsiniz.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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im translating the problem here:  differential equation to Cauch Euler's equation by appropriate transformation degrade. Solve the Cauch Euler equation you got.

Show Path: You can apply the y = z (u) rotation, with z being an arbitrary function.)

r'yy"+kry (ry-y) =0 diferansiyel denklemini uygun bir dönüşüm ile Cauch Euler denklemine
eyiniz. Elde ettiğiniz Cauch Euler denklemini çözünüz.
d'y
dy
dir.
d.r
la k sabit
sayı; y"=
dr2
österme: z keyfi bir fonksiyon olmak üzere y = z(u) dönüşümü uygulayabilirsiniz.)
Transcribed Image Text:r'yy"+kry (ry-y) =0 diferansiyel denklemini uygun bir dönüşüm ile Cauch Euler denklemine eyiniz. Elde ettiğiniz Cauch Euler denklemini çözünüz. d'y dy dir. d.r la k sabit sayı; y"= dr2 österme: z keyfi bir fonksiyon olmak üzere y = z(u) dönüşümü uygulayabilirsiniz.)
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