Let Yn 0.15yn-1 +20 be a linear DDS. a) Suppose the initial value is yo= 58. Find the explicit solution. Yn 28.7 b) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed. Ye 1.001 ☑ c) Determine the stability of the equilibrium. Choose the correct answer. The equilibrium of this system is unstable × O the slope is positive. the slope is negative. the slope in absolute value is less than 1. the slope in absolute value is greater than 1. X because

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let Yn 0.15yn-1 +20 be a linear DDS.
a) Suppose the initial value is yo= 58. Find the explicit solution.
Yn
28.7
b) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed.
Ye
1.001
☑
c) Determine the stability of the equilibrium. Choose the correct answer.
The equilibrium of this system is unstable
×
O the slope is positive.
the slope is negative.
the slope in absolute value is less than 1.
the slope in absolute value is greater than 1.
X because
Transcribed Image Text:Let Yn 0.15yn-1 +20 be a linear DDS. a) Suppose the initial value is yo= 58. Find the explicit solution. Yn 28.7 b) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed. Ye 1.001 ☑ c) Determine the stability of the equilibrium. Choose the correct answer. The equilibrium of this system is unstable × O the slope is positive. the slope is negative. the slope in absolute value is less than 1. the slope in absolute value is greater than 1. X because
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