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e^(2*x)*cos(x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
 2*x           
E   *cos(x) = 0
$$e^{2 x} \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
-pi  pi
----*--
 2   2 
$$- \frac{\pi}{2} \frac{\pi}{2}$$
=
   2 
-pi  
-----
  4  
$$- \frac{\pi^{2}}{4}$$
-pi^2/4
Respuesta numérica [src]
x1 = -14.1371669411541
x2 = -70.6858347057703
x3 = -45.553093477052
x4 = -98.9601685880785
x5 = -1.5707963267949
x6 = -32.9867228626928
x7 = -20.4203522483337
x8 = -73.8274273593601
x9 = -23.5619449019235
x10 = -58.1194640914112
x11 = -92.6769832808989
x12 = -17.2787595947439
x13 = -80.1106126665397
x14 = 7.85398163397448
x15 = -29.845130209103
x16 = -36.1283155162826
x17 = 14.1371669411541
x18 = -61.261056745001
x19 = -10.9955742875643
x20 = -54.9778714378214
x21 = -102.101761241668
x22 = 10.9955742875643
x23 = -64.4026493985908
x24 = -83.2522053201295
x25 = -7.85398163397448
x26 = -89.5353906273091
x27 = 17.2787595947439
x28 = -76.9690200129499
x29 = -4.71238898038469
x30 = -48.6946861306418
x31 = -67.5442420521806
x32 = 4.71238898038469
x33 = -95.8185759344887
x34 = -42.4115008234622
x35 = -39.2699081698724
x36 = -51.8362787842316
x37 = -86.3937979737193
x38 = 1.5707963267949
x39 = -26.7035375555132
x39 = -26.7035375555132