H** EQUAZIONI NONLINEARI ** L
In[1505]:=
Clear @ f, g, a, a0 D ; f @ x_ D := Sin @ x D ; g @ x_ D := a* x;
a0 = 0.1;
Plot @8 f @ x D , g @ x D . a ® a0 < , 8 x, -Pi, Pi < , PlotRange ® 88- Pi, Pi < , 8- 1, 1 << ,
PlotStyle -> 88 RGBColor @ 0, 0, 1 D , Thickness @ 0.01 D< , 8 RGBColor @ 1, 0, 0 D , Thickness @ 0.01 D<<D
Out[1509]=
-3 -2 -1 1 2 3
-1.0 -0.5 0.5 1.0
In[1510]:=
Clear @ ff, a0 D ; ff @ 1 D@ x_ D := f @ x D ;
Do @ a0 = H i - 1 L * 0.4; ff @ i D@ x_ D = g @ x D . a ® a0, 8 i, 2, 5 <D
In[1513]:=
a0 = 0.;
i = 1;
While @ a0 £ 2., 8 pl @ i D = Plot @8 f @ x D , g @ x D . a ® a0 < , 8 x, -Pi, Pi < ,
PlotRange ® 88- Pi, Pi < , 8- 1, 1 << , PlotStyle -> 88 RGBColor @ 0, 0, 1 D , Thickness @ 0.01 D< , 8 RGBColor @ 1, 0, 0 D , Thickness @ 0.01 D<<D ; i += 1; a0 += 0.4 <D ;
In[1516]:=
Show @ pl @ 2 DD
Out[1516]=
-3 -2 -1 1 2 3
-1.0 -0.5 0.5 1.0
In[1517]:=
Clear @ a0 D ; Animate @
Plot @8 f @ x D , g @ x D . a ® a0 < , 8 x, -Pi, Pi < , PlotRange ® 88- Pi, Pi < , 8- 1, 1 << , PlotStyle ->
88 RGBColor @ 0, 0, 1 D , Thickness @ 0.01 D< , 8 RGBColor @ 1, 0, 0 D , Thickness @ 0.01 D<<D , 8 a0, 0, 2 < , AnimationRunning ® False D
Out[1518]=
a0
-3 -2 -1 1 2 3
-1.0 -0.5 0.5 1.0
In[1519]:=
Clear @ f1, g1 D ; f1 @ x_ D := Exp @- x D ; g1 @ x_ D := x ^ 3;
Plot @8 f1 @ x D , g1 @ x D< , 8 x, 0, 2 < , PlotRange ® 8 0, 2 < ,
PlotStyle ® 88 RGBColor @ 0, 0, 1 D , Thickness @ 0.01 D< , 8 RGBColor @ 1, 0, 0 D , Thickness @ 0.01 D<<D
Out[1522]=
0.0 0.5 1.0 1.5 2.0
0.5 1.0 1.5 2.0 2 EqNonLin1.nb
In[1523]:=
Clear @ f2 D ;
f2 @ x_ D := Exp @- x D - 1 2;
Plot @ f2 @ x D , 8 x, 0, 2 < , PlotRange ® 8- 1 2, 1 2 < , PlotStyle ® 88 RGBColor @ 0, 0, 1 D , Thickness @ 0.01 D<<D
Out[1525]=
0.5 1.0 1.5 2.0
-0.4 -0.2 0.2 0.4
EqNonLin1.nb 3
