Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is: a) y(x) = = ₁x² + ₂x³ b) y(x) = c₁x + ₂x-3 5 -5 c) y(x) = c₁x² + C₂x-³ d) y(x) = c₁x + c₂x³ !! A.
Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is: a) y(x) = = ₁x² + ₂x³ b) y(x) = c₁x + ₂x-3 5 -5 c) y(x) = c₁x² + C₂x-³ d) y(x) = c₁x + c₂x³ !! A.
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:Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is:
a) y(x) =
= ₁x² + ₂x³
5
b) y(x) = C₁x + ₂x-3
+ ₂x³
-5
c) y(x) =
c₁x + c₂x-³
d) y(x) = c₁x
Q20) The form of a particular solution of y"-4y' - 12y = sin(2t), is:
a) yp (t) = A sin(2t)
b) yp (t) = A cos(t)
c) y(t) = A cos(2t) + B sin(2t)
d) yp (t) = A cos(t) + B sin(t)
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