Art of Problem Solving

User:5849206328x: Difference between revisions

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f.p=fontsize(6);
f.p=fontsize(6);
xaxis(0,10);
xaxis(0,10);
yaxis(-3,6);
yaxis(0,6);


real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
real f(real x) { return 5 * e^(-0.6 * x) * cos(0.8 * x); }
real f(real x) { return 5 * e^(-2x/3) - 5 * e^(-3x/2); }
real f1(real x) { return 5 * e^(-0.6 * x); }
real f1(real x) { return 5 * e^(-2x/3); }
real f2(real x) { return (-5) * e^(-0.6 * x); }
real f2(real x) { return 5 * e^(-3x/2); }


draw(graph(f,0,10,n=10000));
draw(graph(f,0,10,n=10000));
draw(graph(f1,0,10,n=10000), dashed);
draw(graph(f1,0,10,n=10000), dashed);
draw(graph(f2,5/6,10,n=10000), dashed);
draw(graph(f2,0,10,n=10000), dashed);
</asy>
</asy>

Revision as of 10:09, 10 June 2015

[asy] import slopefield;  Label f; f.p=fontsize(6); xaxis(0,10); yaxis(0,6);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; real f(real x) { return 5 * e^(-2x/3) - 5 * e^(-3x/2); } real f1(real x) { return 5 * e^(-2x/3); } real f2(real x) { return 5 * e^(-3x/2); }  draw(graph(f,0,10,n=10000)); draw(graph(f1,0,10,n=10000), dashed); draw(graph(f2,0,10,n=10000), dashed); [/asy]