3. Solve the following Cauchy-Euler differential equations: (i) (x² D² - xD + 2) y = x log x,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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3. Solve the following Cauchy-Euler differential equations:
(i) (x² D² − xD+2) y = x log x,
(ii) (x³ D³ + 2x² D² + 2) y = 10 (x + ²).
(iii) (x²D² + xD + 1) y = log x sin logx.
dy
(iv) (x + 1)2d²y
dx²
+ (x + 1).
dx
+ y 4 cos (log(x + 1))
=
Transcribed Image Text:3. Solve the following Cauchy-Euler differential equations: (i) (x² D² − xD+2) y = x log x, (ii) (x³ D³ + 2x² D² + 2) y = 10 (x + ²). (iii) (x²D² + xD + 1) y = log x sin logx. dy (iv) (x + 1)2d²y dx² + (x + 1). dx + y 4 cos (log(x + 1)) =
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