Consider the differential equation dy dt increasing = (1+ y)². Part A). Sketch the phase portrait in the space below. To place a symbol on the line click a symbol button then click a point on the line. To remove a symbol from the line click the "delete" button then click the symbol on the line. equilibrium slope undefined delete decreasing Part B). What happens to solutions with initial conditions y(0) > -1 as t increases? ? + If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is Part C). Describe the behavior of solutions with initial conditions y(0) < -1 as t increases. ? + If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is ⠀
Consider the differential equation dy dt increasing = (1+ y)². Part A). Sketch the phase portrait in the space below. To place a symbol on the line click a symbol button then click a point on the line. To remove a symbol from the line click the "delete" button then click the symbol on the line. equilibrium slope undefined delete decreasing Part B). What happens to solutions with initial conditions y(0) > -1 as t increases? ? + If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is Part C). Describe the behavior of solutions with initial conditions y(0) < -1 as t increases. ? + If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is ⠀
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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Solve all 3 parts
Transcribed Image Text:Consider the differential equation
-4
dy
dt
Part A). Sketch the phase portrait in the space below.
To place a symbol on the line click a symbol button then click a point on the line.
To remove a symbol from the line click the "delete" button then click the symbol on the line.
equilibrium slope undefined delete
decreasing increasing
-2
(1 + y)².
Part B). What happens to solutions with initial conditions y(0) > -1 as t increases? ?
+
If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is
#
Part C). Describe the behavior of solutions with initial conditions y(0) < -1 as t increases. ?
+
If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is
#
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