Solve the differential equation

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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Question
Solve the differential equation
y""+y" = 3x² + sin x - 2 cos x
What is the complementary solution?
C₁ cos x + xC₂ sin x
Option 4
None of the choices
C₁+C₂x + C3 cos x + C4 sin x
Option 1
O
C₁ cos x + C₂ sin x
Option 3
(C₁+ C₂a)e + C3 cos x + C4 sin æ
Option 2
Transcribed Image Text:y""+y" = 3x² + sin x - 2 cos x What is the complementary solution? C₁ cos x + xC₂ sin x Option 4 None of the choices C₁+C₂x + C3 cos x + C4 sin x Option 1 O C₁ cos x + C₂ sin x Option 3 (C₁+ C₂a)e + C3 cos x + C4 sin æ Option 2
What is the particular solution?
2-3x²-zsin x + 2x cos x
Option 1
2¹-32² + z sinz + 2x cos z
Option 3
None of the choices
4x²-3x²+xsin x-2x cos x
Option 2
2¹ +32²
z sin + 2x cos a
Option 4
+:
Page 5 of 7
Clear form
Transcribed Image Text:What is the particular solution? 2-3x²-zsin x + 2x cos x Option 1 2¹-32² + z sinz + 2x cos z Option 3 None of the choices 4x²-3x²+xsin x-2x cos x Option 2 2¹ +32² z sin + 2x cos a Option 4 +: Page 5 of 7 Clear form
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