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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 = 0.49158 (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 = 0.899 (sec), leaf count = 183

{x−1−6_C1+6ln⁡(y(x))(2(y(x))4ln⁡(y(x))−2(y(x))4_C1+3(y(x))3ln⁡(y(x))−3(y(x))3_C1+6(y(x))2ln⁡(y(x))−6(y(x))2_C1+6y(x)ln⁡(y(x))−6_C1y(x)−63ln⁡(y(x))−3_C1+9+18)=0,x−1−6_C1+6ln⁡(y(x))(2(y(x))4ln⁡(y(x))−2(y(x))4_C1+3(y(x))3ln⁡(y(x))−3(y(x))3_C1+6(y(x))2ln⁡(y(x))−6(y(x))2_C1+6y(x)ln⁡(y(x))−6_C1y(x)+63ln⁡(y(x))−3_C1+9+18)=0}

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