Sketch the direction field for the following equation dy/dt = 30-2y Based on your sketch, find the value of lim y(t) a. +∞ Ob. -∞ O c. 15 O d.-15 14+∞ e. the limit does not exist Of. the limit depends on the initial value y(0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch the direction field for the following equation:
dy/dt = 30-2y
Based on your sketch, find the value of lim y(t).
1 → +∞
O a. +∞
O b. - ∞
O c. 15
O d.-15
e. the limit does not exist
f. the limit depends on the initial value y(0).
Transcribed Image Text:Sketch the direction field for the following equation: dy/dt = 30-2y Based on your sketch, find the value of lim y(t). 1 → +∞ O a. +∞ O b. - ∞ O c. 15 O d.-15 e. the limit does not exist f. the limit depends on the initial value y(0).
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