dy 13. The slope field for dx is shown in y the figure to the right. a. Sketch solution curves with initial conditions: very nes, I am I at (0, 1) (1 /// ///

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dy
13. The slope field for
dx
is shown in
y
the figure to the right.
а.
Sketch solution curves with initial
conditions:
(sorry for not very
precise sketches, Í am
not very good at
drawing)
(0, 1)
ii.
(1, 0)
I 14 -3 -2 -1
i.
(0, 3)
//
//////
b.
Does lim y exist? If so, what is
//
its value?
///
//
For any function in this slope field with a domain extending to positive infinity, then yes there will be a real limit for y. One
example on this slope field would be the graph y=|x|. This has a real limit for y as x approaches positive infinity, the limit being
positive infinity; however, for a graph like the one in red, there would not be a real limit for y because it approaches two different
y values.
Project 5
250
МТНН 072
C.
Find a possible solution to the differential equation.
y = |x|
Transcribed Image Text:dy 13. The slope field for dx is shown in y the figure to the right. а. Sketch solution curves with initial conditions: (sorry for not very precise sketches, Í am not very good at drawing) (0, 1) ii. (1, 0) I 14 -3 -2 -1 i. (0, 3) // ////// b. Does lim y exist? If so, what is // its value? /// // For any function in this slope field with a domain extending to positive infinity, then yes there will be a real limit for y. One example on this slope field would be the graph y=|x|. This has a real limit for y as x approaches positive infinity, the limit being positive infinity; however, for a graph like the one in red, there would not be a real limit for y because it approaches two different y values. Project 5 250 МТНН 072 C. Find a possible solution to the differential equation. y = |x|
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