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2.197   ODE No. 197

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

cos⁡(x)y′(x)−y(x)4−y(x)sin⁡(x)=0 ✓ Mathematica : cpu = 0.0518102 (sec), leaf count = 98

{{y(x)→1c1cos3⁡(x)−sin⁡(x)−2sin⁡(x)cos2⁡(x)3},{y(x)→−−13c1cos3⁡(x)−sin⁡(x)−2sin⁡(x)cos2⁡(x)3},{y(x)→(−1)2/3c1cos3⁡(x)−sin⁡(x)−2sin⁡(x)cos2⁡(x)3}}

✓ Maple : cpu = 0.123 (sec), leaf count = 237

{y(x)=1_C1(sin⁡(x))4+2cos⁡(x)(sin⁡(x))3−2_C1(sin⁡(x))2−3cos⁡(x)sin⁡(x)+_C1cos⁡(x)(_C1(sin⁡(x))4+2cos⁡(x)(sin⁡(x))3−2_C1(sin⁡(x))2−3cos⁡(x)sin⁡(x)+_C1)23,y(x)=i3−12_C1(sin⁡(x))4+4cos⁡(x)(sin⁡(x))3−4_C1(sin⁡(x))2−6cos⁡(x)sin⁡(x)+2_C1cos⁡(x)(_C1(sin⁡(x))4+2cos⁡(x)(sin⁡(x))3−2_C1(sin⁡(x))2−3cos⁡(x)sin⁡(x)+_C1)23,y(x)=−1+i32_C1(sin⁡(x))4+4cos⁡(x)(sin⁡(x))3−4_C1(sin⁡(x))2−6cos⁡(x)sin⁡(x)+2_C1cos⁡(x)(_C1(sin⁡(x))4+2cos⁡(x)(sin⁡(x))3−2_C1(sin⁡(x))2−3cos⁡(x)sin⁡(x)+_C1)23}

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