miércoles, 20 de octubre de 2010

FORMAS DIFERENCIALES

Formas diferenciales
> restart; with(difforms);
> defform(f = 0, w1 = 1, w2 = 1, w3 = 1, v1 = 1, x = 0, y = 0, z = 0, t = 0, a = const, b = const, e = const, c = const);
> dy = d(x^2);
> dy = d(3*x^2+5*x);
> dy = d(sqrt(1-3*x));
> f := x^3-y^2 = 3*x-4;
> dy/dx = implicitdiff(f, y, x);
> %*dx;
> sort(%);
> d(x^3-y^2 = 3*x-4);
> isolate(%, d(y));
> simplify(%);
> sort(%);
> f := 4*x^5-5*x^2-1;
> d^3*y/dx^3 = diff(f, `$`(x, 3));
> %*dx^3;
> sort(%);
solución 2 Usando la forma de diferencial.
> dy = d(4*x^5-5*x^2-1);
> d^2*y = d(20*x^4-10*x)*d(x);
> d^3*y = d(80*x^3-10)*d(x)^2;

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