1. Find the general solution for: a. x²d²y + x 2 - y = 0 dx² - 3y = 0 b. x²d²y + x² 2 dx² 2 d² y C. dx² d. x2 d „2 d² y dx² x2 dy dx + x dy dx dy dx +y=0 2xy + 2y = 0
1. Find the general solution for: a. x²d²y + x 2 - y = 0 dx² - 3y = 0 b. x²d²y + x² 2 dx² 2 d² y C. dx² d. x2 d „2 d² y dx² x2 dy dx + x dy dx dy dx +y=0 2xy + 2y = 0
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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Transcribed Image Text:1. Find the general solution for:
d²₂ Y
dx²
2
a. x².
b. x²d²y + x²
2
dx²
2 d² y
C.
dx²
d. x2 d
„2 d² y
dx²
x2
dy
+ x - y = 0
dx
dy
dx
- 3y = 0
dy
dx
+y=0
2xy + 2y = 0
+ x
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