Determine the solution of the following differential equations. a) (D² +9) y = 81x² - 14cos3x b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0
Determine the solution of the following differential equations. a) (D² +9) y = 81x² - 14cos3x b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0
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
![Determine the solution of the following differential equations.
a) (D² + 9) y = 81x² - 14cos3x
b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0
c) (D7 + 2D6 + 7D5 + 14Dª + 8D³ + 16D² – 16D - 32) y = 0
d) xy' + (1+x)y = e¯* sin(2x)
e) y" + 4y' + 3y = sin(e)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe51ed901-fb62-4f78-abe9-9a3c28ee810c%2Fc75cd725-f90c-4ba5-b4da-dc47c3f78d53%2Fmpxoabg_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the solution of the following differential equations.
a) (D² + 9) y = 81x² - 14cos3x
b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0
c) (D7 + 2D6 + 7D5 + 14Dª + 8D³ + 16D² – 16D - 32) y = 0
d) xy' + (1+x)y = e¯* sin(2x)
e) y" + 4y' + 3y = sin(e)
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