1. Find homogenous solution of the following S.L.D.E using Cramer's rule. 2. Find complementary solution of x (xp) using D-operator method. 3. Find complementary solution of y (yp) using undetermined coefficients method. 3 dx dt 2 - dx dt dy 11x + 24 + 6y dt -- = e²t 7x+ +4y=t² dy dt

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 homogenous solution of the following S.L.D.E using Cramer's
rule.
2. Find complementary solution of x (xp) using D-operator method.
3. Find complementary solution of y (yp) using undetermined
coefficients method.
3
dx
dt
2
-
dx
dt
dy
11x + 24 + 6y
dt
--
= e²t
7x+ +4y=t²
dy
dt
Transcribed Image Text:1. Find homogenous solution of the following S.L.D.E using Cramer's rule. 2. Find complementary solution of x (xp) using D-operator method. 3. Find complementary solution of y (yp) using undetermined coefficients method. 3 dx dt 2 - dx dt dy 11x + 24 + 6y dt -- = e²t 7x+ +4y=t² dy dt
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