Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x
Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x
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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Solve for DE
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
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c) (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D-32) y = 0
d) xy' + (1+x)y = ex sin(2x)
e) y" + 4y' + 3y = cos(e)
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