At least one of the answers above is NOT correct. A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (²2r+2) ³r(r + 1)² = 0 Write the nine fundamental solutions to the differential equation as functions of the variable t.

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Question
3/1 = 1
Y4=
e
-21
3/7 = t³e-2t
Y2 = t
Entered
Y5 =
At least one of the answers above is NOT correct.
1
Y8 =
t
Write the nine fundamental solutions to the differential equation as functions of the variable t.
te
t^2
e^(-2*t)
t*[e^(-2*t)]
(t^2) *[e^(-2*t)]
(t^3)*[e^(-2*t)]
(e^t)*cos(t)
(e^t)*sin(t)
-21
A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows.
(7₁² — 2r + 2) ³r(r + 1)² = 0
Y3 = 1²
2
Y6 = 1²e-21
(t) cos(t)
Yg=
Answer Preview
(t) sin(t)
1
t
t²
-2t
e
te-2t
t²e-2t
t³e-2t
e' cos(t)
e sin(t)
Result
correct
incorrect
incorrect
incorrect
incorrect
incorrect
incorrect
correct
correct
Transcribed Image Text:3/1 = 1 Y4= e -21 3/7 = t³e-2t Y2 = t Entered Y5 = At least one of the answers above is NOT correct. 1 Y8 = t Write the nine fundamental solutions to the differential equation as functions of the variable t. te t^2 e^(-2*t) t*[e^(-2*t)] (t^2) *[e^(-2*t)] (t^3)*[e^(-2*t)] (e^t)*cos(t) (e^t)*sin(t) -21 A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (7₁² — 2r + 2) ³r(r + 1)² = 0 Y3 = 1² 2 Y6 = 1²e-21 (t) cos(t) Yg= Answer Preview (t) sin(t) 1 t t² -2t e te-2t t²e-2t t³e-2t e' cos(t) e sin(t) Result correct incorrect incorrect incorrect incorrect incorrect incorrect correct correct
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