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(ddxy(x))2sin(y(x))+2x(ddxy(x))(cos(y(x)))3−sin(y(x))(cos(y(x)))4=0
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_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3))−2sin(1/2arctan(_C12_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3))−sin(52arctan(1(_C12_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))−23))−3sin(3/2arctan(_C12_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)))(cos(32arctan(1(_C12_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))−23))+3cos(1/2arctan(_C12_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)))−1,y(_T)=12arctan(1(_C12_T2−2_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_C1−9_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)3−3(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))2/3)(_C13_T3+54_T_C1+63_C12_T2(_C12_T2+27))−23)]}
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