(1 point) Given the second order homogeneous constant coefficient equation y" - 4y - 12y = 0 1) the characteristic polynomial ar2 + br+cis r^2-4r-12 2) The roots of auxiliary equation are 6,-2 3) A fundamental set of solutions is 4) Given the initial conditions y(0) = 2 and y' (0)= 20 find the unique solution to the IVP (enter answers as a comma separated list). Y (enter answers as a comma separated list).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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(1 point)
Given the second order homogeneous constant coefficient equation y" - 4y - 12y = 0
1) the characteristic polynomial ar2 + br+cis ^2-4r-12
2) The roots of auxiliary equation are 6,-2
3) A fundamental set of solutions is
4) Given the initial conditions y(0) = 2 and y' (0)= 20 find the unique solution to the IVP
(enter answers as a comma separated list).
y
(enter answers as a comma separated list).
Transcribed Image Text:(1 point) Given the second order homogeneous constant coefficient equation y" - 4y - 12y = 0 1) the characteristic polynomial ar2 + br+cis ^2-4r-12 2) The roots of auxiliary equation are 6,-2 3) A fundamental set of solutions is 4) Given the initial conditions y(0) = 2 and y' (0)= 20 find the unique solution to the IVP (enter answers as a comma separated list). y (enter answers as a comma separated list).
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