User:5849206328x: Difference between revisions
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add(slopefield(z,(0,-2),(4,3),20,Arrow)); | add(slopefield(z,(0,-2),(4,3),20,Arrow)); | ||
/ | pair one(real y) { return (1/(1 - y^2),y); } | ||
pair two(real y) { return (-1/(1 - y^2),y); } | |||
draw(graph(f,0,4),red); | draw(graph(f,0,4),red); | ||
draw(graph(g,0,4),darkgreen); | draw(graph(g,0,4),darkgreen); | ||
| Line 24: | Line 26: | ||
draw((0,1)--(4,1)); | draw((0,1)--(4,1)); | ||
draw((0,-1)--(4,-1)); | draw((0,-1)--(4,-1)); | ||
draw(graph(one,-0.867,0.867),dashed); | |||
draw(graph(two,-2,-1.118),dashed); | |||
draw(graph(two,1.118,3),dashed); | |||
label("$-3/2$",(0,-3/2),W); | label("$-3/2$",(0,-3/2),W); | ||
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label("$1$",(0,1),W); | label("$1$",(0,1),W); | ||
label("$2$",(0,2),W); | label("$2$",(0,2),W); | ||
</asy> | </asy> | ||
Revision as of 10:40, 28 April 2015
![[asy] import slopefield; Label f; f.p=fontsize(6); xaxis(0,4); yaxis(-2,3); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real y(real t, real a) { return (a - e^(-t^2))/(a + e^(-t^2)); } real f(real x) { return y(x,1); } real g(real x) { return y(x,-3); } real h(real x) { return y(x,1/5); } real j(real x) { return y(x,-1/5); } real z(real t, real y) { return t * (1 - y^2); } add(slopefield(z,(0,-2),(4,3),20,Arrow)); pair one(real y) { return (1/(1 - y^2),y); } pair two(real y) { return (-1/(1 - y^2),y); } draw(graph(f,0,4),red); draw(graph(g,0,4),darkgreen); draw(graph(h,0,4),blue); draw(graph(j,0,0.71),purple); draw(graph(j,1.52,4),purple); draw((0,1)--(4,1)); draw((0,-1)--(4,-1)); draw(graph(one,-0.867,0.867),dashed); draw(graph(two,-2,-1.118),dashed); draw(graph(two,1.118,3),dashed); label("$-3/2$",(0,-3/2),W); label("$-1$",(0,-1),W); label("$-2/3$",(0,-2/3),W); label("$0$",(0,0),W); label("$1$",(0,1),W); label("$2$",(0,2),W); [/asy]](http://latex.artofproblemsolving.com/6/a/8/6a81a7a7e67eb7b4bea0fc991671629a505449eb.png)
