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x,y,t=var("x,y,t") x0=-10 y0=-6 punto=point((x0,y0), color="red", size="26") R=10 campo_vectorial=plot_slope_field(4*y,(x,x0-R,x0+R), (y,y0-R,y0+R)) f=function("f")(x) diffeq = diff(f,x) == 2*y+1 # Aquí debe sustituir "2*y+1" el lado derecho de la ecuación diferencial correspondiente show(diffeq) f(x)=desolve(diffeq, [f,x], [x0,y0]) show(f(x)) curva_sol=plot(f, (x,x0-R,x0+R), color="blue") (campo_vectorial+curva_sol+punto).show(ymin = y0-R, ymax = y0+R)
D[0](f)(x)=4f(x)\displaystyle D[0]\left(f\right)\left(x\right) = 4 \, f\left(x\right)
6e(4x+40)\displaystyle -6 \, e^{\left(4 \, x + 40\right)}
plot_vector_field( (sin(y), y-x**2), (x,-3,3), (y,-1,8) )
u,v=var("u,v") u0=0 v0=0 R=10 campo_vec=plot_vector_field( (v,-4*u), (u,u0-R,u0+R), (v,v0-R,v0+R) ) campo_vec.show()
u,v=var("u,v") u0=0 v0=0 R=10 campo_vec=plot_vector_field( (v,4*u), (u,u0-R,u0+R), (v,v0-R,v0+R) ) campo_vec.show()