Q4 Identify the homogeneity of the following second order differential equation and state the reason. (a) d²y 3 +5y=2y"+1 dr? (b) Solve the following second order homogeneous linear differential equation if the 4 initial conditions are given as y(0) =0 and y'(0) = 3 dy 2(4y" – 3 y) = -2 dx

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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Q4
Q4
Identify the homogeneity of the following second order differential equation and
state the reason.
(a)
d²y
3
dx?
+5y=2y"+1
(b)
Solve the following second order homogeneous linear differential equation if the
4
initial conditions are given as y(0) =0 and y'(0) =
dy
2(4у' - Зу) 3-2-
dx
Transcribed Image Text:Q4 Identify the homogeneity of the following second order differential equation and state the reason. (a) d²y 3 dx? +5y=2y"+1 (b) Solve the following second order homogeneous linear differential equation if the 4 initial conditions are given as y(0) =0 and y'(0) = dy 2(4у' - Зу) 3-2- dx
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