How to plot a differencial equation

[jeanounou-disab]

How can I generate the vector field of a differential equation, for ex: y�=x^2/(1-y^2) or y�=(3x^2+4x+2)/2(y-1), both y and x run from -4 to 4 on their respective axes? All I know is how to solve the equations, but I'd like to be able to sketch the graph as well. Thanks for your help.

[TomGutman]

There are several examples in the collaboratory. Try searching for slope plot or vector field plot.
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� � � � Tom Gutman

[ptc-1368288]

"How can I generate the vector field of a differential equation".
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This work sheet is extracted from the Mathcad e-book. It should work fine for you but if you have difficulties, please don't hesitate. Version 11.2a . It could be saved in lower version, but you don't specify which version is yours.
jmG

[ptc-1368288]

Something attached.

jmG