answer by shading the circle corresponding to your choice. y = ce-2t + 3t2 o y' + 6y = 2t(t + 1) o y' - 2y = 6t(t – 1) o y' + 2y = t(t + 6) o y' + 2y = 6t(t + 1)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. y = cze2t + C2e¬3t – cos t
o y" – 7y' + y = sin t + cos t
o y" + y' – 6y = 5 sint – cos t
y" + y' +y = sint + cos t
o y" + y' – 6y = sin t + 7 cost
Transcribed Image Text:5. y = cze2t + C2e¬3t – cos t o y" – 7y' + y = sin t + cos t o y" + y' – 6y = 5 sint – cos t y" + y' +y = sint + cos t o y" + y' – 6y = sin t + 7 cost
Determine the differential equations satisfied by the following functions. Choose the
correct answer by shading the circle corresponding to your choice.
1. y = ce-2t + 3t²
o y'+ 6y = 2t(t + 1)
o y' - 2y = 6t(t – 1)
o y' + 2y = t(t + 6)
o y' + 2y = 6t(t + 1)
%3D
%3D
2. x = cze6t + C2te6t
o x" – 36x' + 12x = 0
о х"- 12х'+ 36х %3D 0
o x" + 12x' – 36x = 0
o x" – 4x' + 9x = 0
%3D
3. y = c,e' sin 3t + c2e' cos 3t
o y" + 2y' – 10y = 0
2y" - у' + 10у %3D0
о у"- 10y' + 2у %3D0
о у"- 2y' + 10у %3D0
4. x = c,e3t + cze¬t – 2te-t
o x" – 2x' – 3x = 8e-t
o x" – 3x' – 2x = 8e¬t
o x" + 2x' + 3x = 8et
o x" – 2x' + 3x = 8et
Transcribed Image Text:Determine the differential equations satisfied by the following functions. Choose the correct answer by shading the circle corresponding to your choice. 1. y = ce-2t + 3t² o y'+ 6y = 2t(t + 1) o y' - 2y = 6t(t – 1) o y' + 2y = t(t + 6) o y' + 2y = 6t(t + 1) %3D %3D 2. x = cze6t + C2te6t o x" – 36x' + 12x = 0 о х"- 12х'+ 36х %3D 0 o x" + 12x' – 36x = 0 o x" – 4x' + 9x = 0 %3D 3. y = c,e' sin 3t + c2e' cos 3t o y" + 2y' – 10y = 0 2y" - у' + 10у %3D0 о у"- 10y' + 2у %3D0 о у"- 2y' + 10у %3D0 4. x = c,e3t + cze¬t – 2te-t o x" – 2x' – 3x = 8e-t o x" – 3x' – 2x = 8e¬t o x" + 2x' + 3x = 8et o x" – 2x' + 3x = 8et
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