dy dx 2. Construct a direction field for the differential equation = 3y(1y). Then sketch a few solution curves for different initial conditions, making sure to include the solution curves with initial conditions y(0) = 0 and y(0) = 1 plus a least one solution curve above and below each horizontal solution curve (which are called equilibrium solutions).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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dy
dx
2. Construct a direction field for the differential equation = 3y(1y). Then sketch a few
solution curves for different initial conditions, making sure to include the solution curves with
initial conditions y(0) = 0 and y(0) = 1 plus a least one solution curve above and below each
horizontal solution curve (which are called equilibrium solutions).
Y
X
Transcribed Image Text:dy dx 2. Construct a direction field for the differential equation = 3y(1y). Then sketch a few solution curves for different initial conditions, making sure to include the solution curves with initial conditions y(0) = 0 and y(0) = 1 plus a least one solution curve above and below each horizontal solution curve (which are called equilibrium solutions). Y X
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