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ddxy(x)−xa(y(x))3+3(y(x))2−x−ay(x)−x−2a+ax−a−1=0
Mathematica: cpu = 0.227529 (sec), leaf count = 258 {{y(x)→x−a−e−2x1−a1−ac1−2x(4a+1a−1x(x1−a1−a)2a−1Γ(−2a−1,−4x1−aa−1)a−1+e4x1−aa−1xa)a+1},{y(x)→e−2x1−a1−ac1−2x(4a+1a−1x(x1−a1−a)2a−1Γ(−2a−1,−4x1−aa−1)a−1+e4x1−aa−1xa)a+1+x−a}}
Maple: cpu = 0.062 (sec), leaf count = 1052 {y(x)=−1e2x(a−1)xa1_C1−211−a2−2a1−a−2(1−a)−1((1−a)−1)−a1−a−(1−a)−1(1−a−3+a2−3+2a1−a+2(1−a)−1+2(a−1)−1x−a21−a+(1−a)−1−1+a((1−a)−1)a1−a+(1−a)−1(−4x1−aa21−a+8ax1−a1−a−4x1−a1−a+2a−2)(x1−a1−a)(a−1)−1e−2x1−a1−aM−a+1a−1+(a−1)−1,−(a−1)−1+1/2(4x1−a1−a)(a1−a+(1−a)−1)−1−1−a−3+a2−1+2a1−a+2(1−a)−1+2(a−1)−1x−a21−a+(1−a)−1−1+a((1−a)−1)a1−a+(1−a)−1(x1−a1−a)(a−1)−1e−2x1−a1−aM−a+1a−1+(a−1)−1+1,−(a−1)−1+1/2(4x1−a1−a)(a1−a+(1−a)−1)−1)+(xa)−1,y(x)=1e2x(a−1)xa1_C1−211−a2−2a1−a−2(1−a)−1((1−a)−1)−a1−a−(1−a)−1(1−a−3+a2−3+2a1−a+2(1−a)−1+2(a−1)−1x−a21−a+(1−a)−1−1+a((1−a)−1)a1−a+(1−a)−1(−4x1−aa21−a+8ax1−a1−a−4x1−a1−a+2a−2)(x1−a1−a)(a−1)−1e−2x1−a1−aM−a+1a−1+(a−1)−1,−(a−1)−1+1/2(4x1−a1−a)(a1−a+(1−a)−1)−1−1−a−3+a2−1+2a1−a+2(1−a)−1+2(a−1)−1x−a21−a+(1−a)−1−1+a((1−a)−1)a1−a+(1−a)−1(x1−a1−a)(a−1)−1e−2x1−a1−aM−a+1a−1+(a−1)−1+1,−(a−1)−1+1/2(4x1−a1−a)(a1−a+(1−a)−1)−1)+(xa)−1}
Sage: cpu = 0 (sec), leaf count = 0 Maxima was unable to solve this ODE
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