3.513   ODE No. 513

(ddxy(x))2sin(y(x))+2x(ddxy(x))(cos(y(x)))3sin(y(x))(cos(y(x)))4=0

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

Mathematica: cpu = 0 (sec), leaf count = 0 Hanged

Maple: cpu = 1.748 (sec), leaf count = 2402 {[x(_T)=18_T(16_T2sin(1/2arctan(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3))2sin(1/2arctan(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3))sin(52arctan(1(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))23)1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,1(3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))23))3sin(3/2arctan(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)))(cos(32arctan(1(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))23)1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,1(3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))23))+3cos(1/2arctan(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)))1,y(_T)=12arctan(1(_C12_T22_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))23)1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3,1(3_C12_T2(_C12_T2+27)_T_C19_C12_T2+3_C12_T2(_C12_T2+27)_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)3+9_T_C1_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27)33(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))23)]}