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2.970   ODE No. 970

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

y′(x)=−216y(x)(−2y(x)4−3y(x)3−6y(x)2−6y(x)+6x+6)216x3−216x2y(x)4−324x2y(x)3−648x2y(x)2−648x2y(x)−8y(x)12−36y(x)11−126y(x)10−315y(x)9+72xy(x)8−18y(x)8+216xy(x)7+594y(x)7+594xy(x)6+2484y(x)6+1080xy(x)5+4428y(x)5−432xy(x)4+2808y(x)4−648xy(x)3+1728y(x)3−1944xy(x)2−1296y(x)2−1296xy(x)−1296y(x) ✓ Mathematica : cpu = 0.567483 (sec), leaf count = 66

Solve[36(2y(x)4+3y(x)3+6y(x)2+6y(x)−6x−3)(y(x)(2y(x)3+3y(x)2+6y(x)+6)−6x)2+log⁡(y(x))=c1,y(x)]

✓ Maple : cpu = 0.879 (sec), leaf count = 181

{16_C1−6ln⁡(y(x))(−63ln⁡(y(x))−3_C1+9+(2(y(x))4+3(y(x))3+6(y(x))2−6x+6y(x))ln⁡(y(x))−2_C1(y(x))4−3_C1(y(x))3−6_C1(y(x))2+6_C1x−6_C1y(x)+18)=0,16_C1−6ln⁡(y(x))(63ln⁡(y(x))−3_C1+9+(2(y(x))4+3(y(x))3+6(y(x))2−6x+6y(x))ln⁡(y(x))−2_C1(y(x))4−3_C1(y(x))3−6_C1(y(x))2+6_C1x−6_C1y(x)+18)=0}

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