e or false? There is an equilibrium solution at y = 0. [Select] All the line segments have negative slope for y > 0. [Select ]e true OF All the line segments have positive slope for t <금. [Select ] ach of the following a solution to y' (t) = –2y? y = 2e* [Select ] y = e¯2t [Select ]« solution OR not a solutior -2t [Select]
e or false? There is an equilibrium solution at y = 0. [Select] All the line segments have negative slope for y > 0. [Select ]e true OF All the line segments have positive slope for t <금. [Select ] ach of the following a solution to y' (t) = –2y? y = 2e* [Select ] y = e¯2t [Select ]« solution OR not a solutior -2t [Select]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the differential equation
y' (t) = –2y.
Sketch a slope field for 0 <t < 3 and 0 < y < 3.
True or false?
• There is an equilibrium solution at y = 0.
[ Select ]
true OR false
• All the line segments have negative slope for y > 0. [Select ]
• All the line segments have positive slope for t < !. [ Select]
Is each of the following a solution to y' (t) = –2y?
• y = 2e* [ Select ]
[ Select ]
• Y = e¬2t
solution OR not a solution
• y = ¿e
-2t
[ Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf1a5bec-06ae-4877-98a5-63166d48c380%2Fdb00d3b8-5663-411b-afb7-cdafe750805b%2Fqefgg6m_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the differential equation
y' (t) = –2y.
Sketch a slope field for 0 <t < 3 and 0 < y < 3.
True or false?
• There is an equilibrium solution at y = 0.
[ Select ]
true OR false
• All the line segments have negative slope for y > 0. [Select ]
• All the line segments have positive slope for t < !. [ Select]
Is each of the following a solution to y' (t) = –2y?
• y = 2e* [ Select ]
[ Select ]
• Y = e¬2t
solution OR not a solution
• y = ¿e
-2t
[ Select ]
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