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III. Obtain the general solution otherwise instructed. 1. y′′ + 4y′ + 3y = sinex

III. Obtain the general solution otherwise instructed. 1. y′′ + 4y′ + 3y = sinex

Advanced Engineering Mathematics
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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II. Give three example problems with solutions about the application of differential equations in your field of specialization.

III. Obtain the general solution otherwise instructed.
1. y′′ + 4y′ + 3y = sinex

2. y′′ − 9y = 3ex + x − sin4x

3. (D2 + D)y = x + 1; when x = 0, y = 1, and x=1 and y=1/2. Compute the value of y at x=4.
4. (D3 + 6D2 + 12D + 8)y = 0 when x=0, y=1, y’=-2, y’’=2

II. Obtain the general solution otherwise instructed. 1. у" + 4y' + Зу %3 sine* 2. у" — 9у %3D Зе* + х — sin4х 3. (D² + D)y = x + 1; when x = 0,y = 1, and x=1 and y=1/2. Compute the value of y at x=4. 4. (D³ + 6D² + 12D + 8)y = 0 when x=0, y=1, y'=-2, y"=2
Transcribed Image Text:II. Obtain the general solution otherwise instructed. 1. у" + 4y' + Зу %3 sine* 2. у" — 9у %3D Зе* + х — sin4х 3. (D² + D)y = x + 1; when x = 0,y = 1, and x=1 and y=1/2. Compute the value of y at x=4. 4. (D³ + 6D² + 12D + 8)y = 0 when x=0, y=1, y'=-2, y"=2
I. Give three example problems with solutions about the application of differential equations in your field of specialization. II. Obtain the general solution otherwise instructed. 1. y" + 4y' + 3y = sine* 2. y" – 9y = 3e* + x – sin4x 3. (D² + D)y = x + 1; when x = 0, y = 1, and x=1 and y=1/2. Compute the value of y at x=4. 4. (D³ + 6D² + 12D + 8)y = 0 when x=0, y=1, y'=-2, y"=2 %3D
Transcribed Image Text:I. Give three example problems with solutions about the application of differential equations in your field of specialization. II. Obtain the general solution otherwise instructed. 1. y" + 4y' + 3y = sine* 2. y" – 9y = 3e* + x – sin4x 3. (D² + D)y = x + 1; when x = 0, y = 1, and x=1 and y=1/2. Compute the value of y at x=4. 4. (D³ + 6D² + 12D + 8)y = 0 when x=0, y=1, y'=-2, y"=2 %3D
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