2₁ = 2² - 3xe 4 and 2₂=-4x4-3e-4 are solutions of the nonhomogeneous y" + p(x)y' +q(r)y = f(x). 3₁ (2) = 2³ is a solution of the reduced equation. The general solution of the nonhomog equation is: a) y=C₁z¹-3C₂xe 4² + x³ b) y=C₁z¹-3C₂e-4 c) y=C₁x³+C₂¹-303æе4² d) y=C₁³-3C₂е-4 e) y=C₁³+C₂4-3re 4

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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Q1
Question 1
-4x
2₁x¹3xe
and 22-424-3xe are solutions of the nonhomogeneous equation
y" + p(x)y'+q(r)y = f(x).
3₁ (2) = 2³ is a solution of the reduced equation. The general solution of the nonhomogenoeus
equation is:
a)
y=C₁¹-3C₂xе-4² + x³
-4x
b)
y=C₁-3C₂ze
c)
y=C₁x³ + C₂4-303xе-4
d)
y=C₁³-3C₂re -4
-4z
e)
y=C₁x³ + C₂24-3xe 4
None of the above.
f)
Transcribed Image Text:Question 1 -4x 2₁x¹3xe and 22-424-3xe are solutions of the nonhomogeneous equation y" + p(x)y'+q(r)y = f(x). 3₁ (2) = 2³ is a solution of the reduced equation. The general solution of the nonhomogenoeus equation is: a) y=C₁¹-3C₂xе-4² + x³ -4x b) y=C₁-3C₂ze c) y=C₁x³ + C₂4-303xе-4 d) y=C₁³-3C₂re -4 -4z e) y=C₁x³ + C₂24-3xe 4 None of the above. f)
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