Given the third order homogeneous constant coefficient equation y" + 5y" + 17y + 13y = 0 1) the characteristic polynomial ar³ + br² + cr + dis 2) The roots of auxiliary equation are (enter answers as a comma separated list). 3) A fundamental set of solutions is 4) Given the initial conditions y(0) = 3, y' (0) = −3 and y' (0) = -27 find the unique solution to the IVP y = (enter answers as a comma separated list).

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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Given the third order homogeneous constant coefficient equation y" + 5y" + 17y + 13y = 0
1) the characteristic polynomial ar³ + br² + cr + d is
2) The roots of auxiliary equation are
3) A fundamental set of solutions is
(enter answers as a comma separated list).
(enter answers as a comma separated list).
4) Given the initial conditions y(0) = 3, y' (0) = −3 and y" (0) = −27 find the unique solution to the IVP y =
Transcribed Image Text:Given the third order homogeneous constant coefficient equation y" + 5y" + 17y + 13y = 0 1) the characteristic polynomial ar³ + br² + cr + d is 2) The roots of auxiliary equation are 3) A fundamental set of solutions is (enter answers as a comma separated list). (enter answers as a comma separated list). 4) Given the initial conditions y(0) = 3, y' (0) = −3 and y" (0) = −27 find the unique solution to the IVP y =
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