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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
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 ]
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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