(Slope fields) Using the method of isoclines (for K following differential equation. dy dr 21-y Sketch a few solution curves through the slope field. The picture should appear to indicate that any solution is asymptotic to the line y = 2x − 2 in the limit (as ± → ∞). Then, solve the differential equation and confirm this. ,5, etc), draw a slope field for the =

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Chapter2: Second-order Linear Odes
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(Slope fields) Using the method of isoclines (for K
following differential equation.
=
dy
da
-3, -2, ...,3, etc), draw a slope field for the
=2x-y
Sketch a few solution curves through the slope field. The picture should appear to indicate that any
solution is asymptotic to the line y = 2x − 2 in the limit (as z → ∞). Then, solve the differential
equation and confirm this.
Transcribed Image Text:(Slope fields) Using the method of isoclines (for K following differential equation. = dy da -3, -2, ...,3, etc), draw a slope field for the =2x-y Sketch a few solution curves through the slope field. The picture should appear to indicate that any solution is asymptotic to the line y = 2x − 2 in the limit (as z → ∞). Then, solve the differential equation and confirm this.
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