User:5849206328x: Difference between revisions

Revision as of 19:03, 18 July 2015

$[asy] import slopefield; real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; // Label f; // f.p=fontsize(6); xaxis(0,4); yaxis(-1,2); real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x)); } real g(real x) { return (4/3) * e^(-x) * cos(4 * x); } real h(real x) { return (4/3) * e^(-5 * x) * (1 + 5 * x); } //pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); } draw(graph(f,0,4)); draw(graph(g,0,4)); draw(graph(h,0,4)); limits((0,-2),(4,2),Crop); [/asy]$

@@ Line 7: / Line 7: @@
 // Label f;
 // f.p=fontsize(6);
-xaxis(0,1);
+xaxis(0,4);
-yaxis(0,0.5);
+yaxis(-1,2);
-//real f(real x) { return (-2) * cos(x); }
+real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x)); }
-pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); }
+real g(real x) { return (4/3) * e^(-x) * cos(4 * x); }
-pair g1(real t) { return g(t,1); }
+real h(real x) { return (4/3) * e^(-5 * x) * (1 + 5 * x); }
-pair g2(real t) { return g(t,0.2); }
+//pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); }
-pair h(real t) { return (3/5 * t, -1/2 * t^2 + 4/5 * t); }
-draw(graph(g1,0,2));
+draw(graph(f,0,4));
-draw(graph(g2,0,2));
+draw(graph(g,0,4));
-draw(graph(h,0,2));
+draw(graph(h,0,4));
-label("$k = 1$",(0.44,0),NE);
+limits((0,-2),(4,2),Crop);
-label("$k = 0.1$",(0.79,0),NE);
-label("$k = 0$",(0.96,0),NE);
-//draw(graph(f,-4,4));
-limits((0,0),(2,2),Crop);
 </asy>

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User:5849206328x: Difference between revisions

Revision as of 19:03, 18 July 2015