d’y dy dx + 2r? dx? x- + y = 12x2. dx y = c¡x¯' + C2x + Czx In x + 4.x²

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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Check if the indicated family of functions is a solution
from the given differential equation. Suppose an interval
of definition I suitable for each solution

+ 2-- 12
d'y
d'y
+ 2x2
x÷+y = 12x².
dx?
dy
dx
dx
y = c¡x¬ + C2x + czx In x + 4.x²
Transcribed Image Text:+ 2-- 12 d'y d'y + 2x2 x÷+y = 12x². dx? dy dx dx y = c¡x¬ + C2x + czx In x + 4.x²
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