1. Find the general solution for: a. x2d²y dx2 dy +x - y = 0 dx dy dx 2 b. x²d²y dx² 2 d² y dx² x²9 + x- + x dx dy C. d²y dx² d. x² x² 2 c. 4x² d²y dx² - - 3y = 0 2x dy dx +y=0 +y=0 + 2y = 0

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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1. Find the general solution for:
a. x2d²y
dx2
dy
+x - y = 0
dx
dy
dx
2
b. x²d²y
dx²
2 d² y
dx²
x²9
+ x-
+ x dx
dy
C.
d²y
dx²
d. x²
x² 2
c. 4x² d²y
dx²
-
- 3y = 0
2x
dy
dx
+y=0
+y=0
+ 2y = 0
Transcribed Image Text:1. Find the general solution for: a. x2d²y dx2 dy +x - y = 0 dx dy dx 2 b. x²d²y dx² 2 d² y dx² x²9 + x- + x dx dy C. d²y dx² d. x² x² 2 c. 4x² d²y dx² - - 3y = 0 2x dy dx +y=0 +y=0 + 2y = 0
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