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e^(x)*((-sin(x))+cos(x))=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 x                       
E *(-sin(x) + cos(x)) = 0
$$e^{x} \left(- \sin{\left(x \right)} + \cos{\left(x \right)}\right) = 0$$
Gráfica
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Suma y producto de raíces [src]
suma
  3*pi   pi
- ---- + --
   4     4 
$$- \frac{3 \pi}{4} + \frac{\pi}{4}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-3*pi pi
-----*--
  4   4 
$$- \frac{3 \pi}{4} \frac{\pi}{4}$$
=
     2
-3*pi 
------
  16  
$$- \frac{3 \pi^{2}}{16}$$
-3*pi^2/16
Respuesta numérica [src]
x1 = 0.785398163397448
x2 = -21.2057504117311
x3 = -55.7632696012188
x4 = -43.1968989868597
x5 = -62.0464549083984
x6 = -49.4800842940392
x7 = -52.621676947629
x8 = 19.6349540849362
x9 = -36.9137136796801
x10 = 3.92699081698724
x11 = -24.3473430653209
x12 = -46.3384916404494
x13 = -74.6128255227576
x14 = -27.4889357189107
x15 = -2.35619449019234
x16 = 29.0597320457056
x17 = -90.3207887907066
x18 = -87.1791961371168
x19 = -93.4623814442964
x20 = -77.7544181763474
x21 = -99.7455667514759
x22 = -65.1880475619882
x23 = -96.6039740978861
x24 = -5.49778714378214
x25 = -80.8960108299372
x26 = -68.329640215578
x27 = 7.06858347057703
x28 = -8.63937979737193
x29 = -11.7809724509617
x30 = -71.4712328691678
x31 = 16.4933614313464
x32 = 22.776546738526
x33 = -40.0553063332699
x34 = -14.9225651045515
x35 = -30.6305283725005
x36 = -58.9048622548086
x37 = -84.037603483527
x38 = 25.9181393921158
x39 = -18.0641577581413
x40 = -33.7721210260903
x41 = 10.2101761241668
x42 = -391.80418557737
x43 = 13.3517687777566
x43 = 13.3517687777566