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2*(sin(5x))*(sin((3x)/2))=sin(x/2) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
              /3*x\      /x\
2*sin(5*x)*sin|---| = sin|-|
              \ 2 /      \2/
$$2 \sin{\left(5 x \right)} \sin{\left(\frac{3 x}{2} \right)} = \sin{\left(\frac{x}{2} \right)}$$
Gráfica
Respuesta numérica [src]
x1 = 8.0073728752889
x2 = -2.65507941306202
x3 = -54.824480196507
x4 = 89.2898583312162
x5 = -25.8002079008078
x6 = 95.9719671758031
x7 = -99.9404465875666
x8 = 72.3626650638579
x9 = 87.9980965680126
x10 = -67.7897743482735
x11 = -72.1505970012726
x12 = 295.309709437441
x13 = 70.8392259470848
x14 = 64.1571171024978
x15 = -65.867411694093
x16 = -42.6570331195551
x17 = 35.0440324300155
x18 = -86.2404067324049
x19 = -79.9572214252253
x20 = 64.5560406399052
x21 = 82.2719273206414
x22 = 58.2728553327256
x23 = -20.0475020291062
x24 = -34.07100594896
x25 = 94.2477796076938
x26 = -82.8793551009021
x27 = -35.9749242749682
x28 = -29.6917389677886
x29 = 60.1767736587338
x30 = 74.2002775785876
x31 = -38.897057950645
x32 = -13.7643167219266
x33 = 83.4055965614439
x34 = 28.3803679136008
x35 = 6.87370363448636
x36 = -11.9758522870524
x37 = 62.1643863997064
x38 = 81.714911260833
x39 = -27.7878206417804
x40 = 0.0
x41 = 9.91129120129715
x42 = 32.0064448632047
x43 = 97.8758855018114
x44 = -74.8077053588483
x45 = -81.6814089933346
x46 = 23.9347951211509
x47 = -15.6019292366563
x48 = -64.0297991793633
x49 = -5.69266697987282
x50 = -87.9645943005142
x51 = 6.28318530717959
x52 = 1.32526403070196
x53 = 38.2896301703843
x54 = 16.1944765084767
x55 = -120.57846694398
x56 = -37.6991118430775
x57 = -21.8851145438359
x58 = -76.0656903582445
x59 = 18.1820892494493
x60 = 51.989670025546
x61 = 66.0794797566783
x62 = 22.0971826064212
x63 = 30.2179804283305
x64 = -43.9822971502571
x65 = 79.0263295802726
x66 = -78.0533030992171
x67 = -57.7466138721837
x68 = -69.7825050510649
x69 = -97.2833382299909
x70 = -87.3740759732074
x71 = 67.917092271408
x72 = 75.9887420134618
x73 = -32.0833932079874
x74 = -34.451485158195
x75 = 182.802892235515
x76 = 53.8935883515543
x77 = -15.2214500274212
x78 = -18.8160536540403
x79 = 33.1401141040072
x80 = -59.5842263869134
x81 = -9.31874392947669
x82 = -94.2477796076938
x83 = 44.0157994177555
x84 = -55.9581494373095
x85 = -105.488886191351
x86 = 20.1748199522407
x87 = -71.7701177920375
x88 = 56.5486677646163
x89 = 14.2905581824685
x90 = 26.8569287968277
x91 = -23.8074771980164
x92 = 91.2122209853967
x93 = 50.2654824574367
x94 = 37.6991118430775
x95 = 3.62810589411757
x96 = 51.5907464881387
x96 = 51.5907464881387