Kindly someone help me to solve these equations...!!!
\(\displaystyle \mbox{1. }\, (11\sin(\theta)\, +\, 7\cos(\theta))\ddot{\theta}\, +\, (11\cos(\theta)\, -\, 7\sin(\theta))\dot{\theta}^2\, +\, 0.2\ddot{\epsilon}\, -\, 280\cos(\theta)\, +\, 95\sin(\theta)\, +\, 2\epsilon\, -\, 600t\, +\, 320\, =\, 0\)
\(\displaystyle \mbox{2. }\, \left(560\cos^2(\theta)\, +\, 842\sin(\theta)\cos(\theta)\, -\, 2000\right)\ddot{\theta}\, -\, \left(6\cos(\theta)\, -\, 8.5\sin(\theta)\right) \ddot{\epsilon}\, -\, \left(560\sin(\theta) \cos(\theta)\, +\, 842\sin^2(\theta)\right)\dot{\theta}^2\)
. . . .\(\displaystyle -\, 15\cos(\theta)\, -\, 16400\sin(\theta)\, +\, 16881\sin(\theta)\cos(\theta)\, +\, 13616\sin^2(\theta)\, -\, 20000\theta\, -\, \left(6\cos(\theta)\, +\, 185\sin(\theta)\right)\epsilon\, +\, 30000\sin(\theta) t\, =\, 0\)
\(\displaystyle \mbox{1. }\, (11\sin(\theta)\, +\, 7\cos(\theta))\ddot{\theta}\, +\, (11\cos(\theta)\, -\, 7\sin(\theta))\dot{\theta}^2\, +\, 0.2\ddot{\epsilon}\, -\, 280\cos(\theta)\, +\, 95\sin(\theta)\, +\, 2\epsilon\, -\, 600t\, +\, 320\, =\, 0\)
\(\displaystyle \mbox{2. }\, \left(560\cos^2(\theta)\, +\, 842\sin(\theta)\cos(\theta)\, -\, 2000\right)\ddot{\theta}\, -\, \left(6\cos(\theta)\, -\, 8.5\sin(\theta)\right) \ddot{\epsilon}\, -\, \left(560\sin(\theta) \cos(\theta)\, +\, 842\sin^2(\theta)\right)\dot{\theta}^2\)
. . . .\(\displaystyle -\, 15\cos(\theta)\, -\, 16400\sin(\theta)\, +\, 16881\sin(\theta)\cos(\theta)\, +\, 13616\sin^2(\theta)\, -\, 20000\theta\, -\, \left(6\cos(\theta)\, +\, 185\sin(\theta)\right)\epsilon\, +\, 30000\sin(\theta) t\, =\, 0\)
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