User:5849206328x: Difference between revisions
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<asy> | <asy> | ||
import slopefield; | |||
Label f; | Label f; | ||
f.p=fontsize(6); | f.p=fontsize(6); | ||
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real j(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)); | |||
/* | |||
draw(graph(f,0,4),red); | draw(graph(f,0,4),red); | ||
draw(graph(g,0,4),darkgreen); | draw(graph(g,0,4),darkgreen); | ||
draw(graph(h,0,4),blue); | draw(graph(h,0,4),blue); | ||
draw(graph(j,0,0.71),purple); draw(graph(j,1.52,4),purple); | 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((0,-1)--(4,-1) | draw((0,-1)--(4,-1)); | ||
label("$-3/2$",(0,-3/2),W); | label("$-3/2$",(0,-3/2),W); | ||
| Line 25: | Line 31: | ||
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 10:30, 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)); /* 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)); 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/3/f/5/3f5d4e795e9e2663150c573e22eea0bac24b0e2e.png)
