Integral Curve

Author

Eric W. Weisstein
May 3, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/DifferentialEquations/IntegralCurve.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/IntegralCurve.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Example

DSolve[y'[x]+x^2+x==0,y[x],x]

ParametricPlot[Evaluate[Table[{x,-x^2/2-x^3/3+c},{c,-2,2,.2}]],{x,-2,1.5},PlotStyle->Table[Hue[c],{c,0,1,.05}],
AxesLabel->TraditionalForm/@{x,y}
]