User:5849206328x: Difference between revisions

Revision as of 08:50, 9 June 2015

$[asy] import slopefield; Label f; f.p=fontsize(6); xaxis(0,30); yaxis(-15,15); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; real f(real x) { return 5 * 2/(2.5^2 - 2^2) * cos((2.5 + 2)*x/2) * sin((2.5 - 2)*x/2); } real f1(real x) { return 5 * 2/(2.5^2 - 2^2) * sin((2.5 - 2)*x/2); } real f2(real x) { return -5 * 2/(2.5^2 - 2^2) * sin((2.5 - 2)*x/2); } real g(real x) { return 5x/4 * cos(2x); } real g1(real x) { return 5/4 * x; } real g2(real x) { return -5/4 * x; } draw(graph(f,0,30,n=10000), red); draw(graph(f1,0,30,n=10000), red + dashed); draw(graph(f2,0,30,n=10000), red + dashed); draw(graph(g,0,12.44,n=10000), blue); draw(graph(g1,0,12,n=10000), blue + dashed); draw(graph(g2,0,12,n=10000), blue + dashed); label("$\Delta\omega = 0.5$",(19,f2(19)),N,red); label("$\omega\to\omega_0$",(10,g1(10)),NW,blue); [/asy]$

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User:5849206328x: Difference between revisions

Revision as of 08:50, 9 June 2015

@@ Line 4: / Line 4: @@
 Label f;
 f.p=fontsize(6);
-xaxis(-1.5,1.5);
+xaxis(0,30);
-yaxis(-2.5,2.5);
+yaxis(-15,15);
 real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-pair f(real x) { return (cos(2x), -2sin(2x)); }
+real f(real x) { return 5 * 2/(2.5^2 - 2^2) * cos((2.5 + 2)*x/2) * sin((2.5 - 2)*x/2); }
-pair g(real x) { return (sin(2x), 2cos(2x)); }
+real f1(real x) { return 5 * 2/(2.5^2 - 2^2) * sin((2.5 - 2)*x/2); }
+real f2(real x) { return -5 * 2/(2.5^2 - 2^2) * sin((2.5 - 2)*x/2); }
+real g(real x) { return 5x/4 * cos(2x); }
+real g1(real x) { return 5/4 * x; }
+real g2(real x) { return -5/4 * x; }
-draw(graph(f,0,1), red, MidArrow);
+draw(graph(f,0,30,n=10000), red);
-draw(f(1)--(0,0)--f(0), red, Arrows);
+draw(graph(f1,0,30,n=10000), red + dashed);
-draw(graph(g,0,1), blue, MidArrow);
+draw(graph(f2,0,30,n=10000), red + dashed);
-draw(g(1)--(0,0)--g(0), blue, Arrows);
+draw(graph(g,0,12.44,n=10000), blue);
-draw(graph(g,pi/4,1), purple);
+draw(graph(g1,0,12,n=10000), blue + dashed);
+draw(graph(g2,0,12,n=10000), blue + dashed);
-label("$\mathbf{Y}_1(0)$",f(0),NE,red);
+label("$\Delta\omega = 0.5$",(19,f2(19)),N,red);
-label("$\mathbf{Y}_1(1)$",f(1),SW,red);
+label("$\omega\to\omega_0$",(10,g1(10)),NW,blue);
-label("$\mathbf{Y}_2(0)$",g(0),NE,blue);
-label("$\mathbf{Y}_2(1)$",g(1),ESE,blue);
 </asy>