Consider the differential equation (t) = x(t) - 4. a.) Find the backward solution of the equation, given an initial value x(0) = 0.5 Is the equation stable or unstable? Why? b.) c.) Sketch the phase diagram and a time path for the equation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Consider the differential equation (t) = x(t) – 4.
a.) Find the backward solution of the equation, given an initial value x(0) = 0.5 .
b.) ( Is the equation stable or unstable? Why?
c.)
Sketch the phase diagram and a time path for the equation.
Transcribed Image Text:2 Consider the differential equation (t) = x(t) – 4. a.) Find the backward solution of the equation, given an initial value x(0) = 0.5 . b.) ( Is the equation stable or unstable? Why? c.) Sketch the phase diagram and a time path for the equation.
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9780321964038
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