Isolated Singular Points of a First-Order Differential Equation

​
center
knot
focal
saddle
display points
show an integral curve
initial x value
0.9
initial y value
1
show some integral curves
show a singular point
of 'center' type
This Demonstration shows a slope field and integral curves for a first-order differential equation near a singular point. You can plot a particular integral curve passing through one point and you can plot some integral curves.

External Links

Slope Field (Wolfram MathWorld)
Slope Fields
Vector Field (Wolfram MathWorld)
Integral Curve (Wolfram MathWorld)

Permanent Citation

V. Tomilenko
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​"Isolated Singular Points of a First-Order Differential Equation"​
​http://demonstrations.wolfram.com/IsolatedSingularPointsOfAFirstOrderDifferentialEquation/​
​Wolfram Demonstrations Project​
​Published: August 27, 2014