2) Solve the following differential equations d²y dy 4. dx² 2d²y 29 dx² a) b) - dx - 45y = 3x² — 1 dy 9x+24y= 0, y(1)=1,y'′(1) = 0 dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2) Solve the following differential equations
d²y dy
4.
dx²
dx
a)
b)
d²y
dx²
x²
- 45y = 3x² − 1
dy
- 9x- +24y = 0, y(1) = 1, y'(1) = 0
dx
Transcribed Image Text:2) Solve the following differential equations d²y dy 4. dx² dx a) b) d²y dx² x² - 45y = 3x² − 1 dy - 9x- +24y = 0, y(1) = 1, y'(1) = 0 dx
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