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ddxy(x)=y(x)(ln(x)+1)x(−1−x2(ln(x)+1)−1e2(ln(x))2ln(x)+1x2−x2(ln(x)+1)−1e2(ln(x))2ln(x)+1x2ln(x)+x2(ln(x)+1)−1e2(ln(x))2ln(x)+1x2y(x)+2x2(ln(x)+1)−1e2(ln(x))2ln(x)+1x2y(x)ln(x)+x2(ln(x)+1)−1e2(ln(x))2ln(x)+1x2y(x)(ln(x))2)=0
Mathematica: cpu = 0.210527 (sec), leaf count = 28 {{y(x)→1(c1ex44+1)(log(x)+1)}}
Maple: cpu = 0.062 (sec), leaf count = 197 {y(x)=1e−x44((ln(x))2e−x4ln(x)−x4+8(ln(x))2−4ln(ln(x)+1)ln(x)−4ln(ln(x)+1)4ln(x)+4x−2ln(x)ln(x)+1+2ln(x)e1/4−x4ln(x)−x4+8(ln(x))2−4ln(ln(x)+1)ln(x)−4ln(ln(x)+1)ln(x)+1x−2ln(x)ln(x)+1+_C1ln(x)+e−x4ln(x)−x4+8(ln(x))2−4ln(ln(x)+1)ln(x)−4ln(ln(x)+1)4ln(x)+4x−2ln(x)ln(x)+1+_C1)−1}
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