User:5849206328x: Difference between revisions

Revision as of 11:16, 28 April 2015

$[asy] import slopefield; Label f; f.p=fontsize(6); xaxis(0,3); yaxis(-1,3); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real y(real t, real a) { return 2/(1 + a*e^(-3t)); } real f(real x) { return y(x,9); } real g(real x) { return y(x,-11); } real h(real x) { return y(x,-0.25); } real j(real x) { return y(x,0); } draw(graph(f,0,3),red); draw(graph(g,0,0.432),darkgreen); draw(graph(g,1.17,3),darkgreen); draw(graph(h,0,3),blue); draw(graph(j,0,3),purple); label("$0$",(0,0),W); label("$K$",(0,2),W); [/asy]$

@@ Line 4: / Line 4: @@
 Label f;
 f.p=fontsize(6);
-xaxis(0,4);
+xaxis(0,3);
-yaxis(-2,3);
+yaxis(-1,3);
 real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
-real y(real t, real a) { return (a - e^(-t^2))/(a + e^(-t^2)); }
+real y(real t, real a) { return 2/(1 + a*e^(-3t)); }
-real f(real x) { return y(x,1); }
+real f(real x) { return y(x,9); }
-real g(real x) { return y(x,-3); }
+real g(real x) { return y(x,-11); }
-real h(real x) { return y(x,1/5); }
+real h(real x) { return y(x,-0.25); }
-real j(real x) { return y(x,-1/5); }
+real j(real x) { return y(x,0); }
-real z(real t, real y) { return t * (1 - y^2); }
+draw(graph(f,0,3),red);
-add(slopefield(z,(0,-2),(4,3),20,Arrow));
+draw(graph(g,0,0.432),darkgreen); draw(graph(g,1.17,3),darkgreen);
+draw(graph(h,0,3),blue);
+draw(graph(j,0,3),purple);
-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("$K$",(0,2),W);
-label("$2$",(0,2),W);
 </asy>

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User:5849206328x: Difference between revisions

Revision as of 11:16, 28 April 2015