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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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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)
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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