a. y" +0.5y'+2y = 0 b. 2y" +0.5y+ 8y = 6 sin(2t) c. y" +0.25y + 4y = 2 cos(3t), y(0) = 1, y'(0) = –2 d. ty" +y + ty = 0, y(1) = 1, y'(1) = 0 %3D %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A) Use reduction of order to write the following as a system of first order ode's in vector matrix
form:
a. y" +0.5y'+ 2y = 0
b. 2y" +0.5y + 8y = 6 sin(2t)
c. y"+0.25y + 4y = 2 cos(3t), y(0) = 1, y'(0) = –2
d. ty" +y +ty = 0, y(1) = 1, y'(1) = 0
0 a. Rool distinct eigenyalues,
Transcribed Image Text:A) Use reduction of order to write the following as a system of first order ode's in vector matrix form: a. y" +0.5y'+ 2y = 0 b. 2y" +0.5y + 8y = 6 sin(2t) c. y"+0.25y + 4y = 2 cos(3t), y(0) = 1, y'(0) = –2 d. ty" +y +ty = 0, y(1) = 1, y'(1) = 0 0 a. Rool distinct eigenyalues,
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