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y′(x)=4(a−1)(a+1)x(a2x2−x2−y(x)2−2)−3a6x4y(x)2+3a4x2y(x)4+9a4x4y(x)2−6a2x2y(x)4−9a2x4y(x)2+4a2x2y(x)+a8x6−4a6x6+6a4x6−4a2x6−a2y(x)6+3x2y(x)4+3x4y(x)2−4x2y(x)+x6+y(x)6−4y(x)3−8y(x) ✓ Mathematica : cpu = 4.78607 (sec), leaf count = 1191
{{y(x)→Root[2x4a8−8x4a6+ec1x4a4+11x4a4−2ec1x4a2−6x4a2+4x2a2+(2a2−2)#15+ec1x4+x4+(2a4−4a2+ec1+1)#14+(−4x2a4+8x2a2−4x2)#13−4x2+(−4x2a6+12x2a4−2ec1x2a2−10x2a2+2ec1x2+2x2−4)#12+(2x4a6−6x4a4+6x4a2−2x4)#1−4&,1]},{y(x)→Root[2x4a8−8x4a6+ec1x4a4+11x4a4−2ec1x4a2−6x4a2+4x2a2+(2a2−2)#15+ec1x4+x4+(2a4−4a2+ec1+1)#14+(−4x2a4+8x2a2−4x2)#13−4x2+(−4x2a6+12x2a4−2ec1x2a2−10x2a2+2ec1x2+2x2−4)#12+(2x4a6−6x4a4+6x4a2−2x4)#1−4&,2]},{y(x)→Root[2x4a8−8x4a6+ec1x4a4+11x4a4−2ec1x4a2−6x4a2+4x2a2+(2a2−2)#15+ec1x4+x4+(2a4−4a2+ec1+1)#14+(−4x2a4+8x2a2−4x2)#13−4x2+(−4x2a6+12x2a4−2ec1x2a2−10x2a2+2ec1x2+2x2−4)#12+(2x4a6−6x4a4+6x4a2−2x4)#1−4&,3]},{y(x)→Root[2x4a8−8x4a6+ec1x4a4+11x4a4−2ec1x4a2−6x4a2+4x2a2+(2a2−2)#15+ec1x4+x4+(2a4−4a2+ec1+1)#14+(−4x2a4+8x2a2−4x2)#13−4x2+(−4x2a6+12x2a4−2ec1x2a2−10x2a2+2ec1x2+2x2−4)#12+(2x4a6−6x4a4+6x4a2−2x4)#1−4&,4]},{y(x)→Root[2x4a8−8x4a6+ec1x4a4+11x4a4−2ec1x4a2−6x4a2+4x2a2+(2a2−2)#15+ec1x4+x4+(2a4−4a2+ec1+1)#14+(−4x2a4+8x2a2−4x2)#13−4x2+(−4x2a6+12x2a4−2ec1x2a2−10x2a2+2ec1x2+2x2−4)#12+(2x4a6−6x4a4+6x4a2−2x4)#1−4&,5]}} ✓ Maple : cpu = 1.257 (sec), leaf count = 79
{−y(x)(a−1)(a+1)+21(a2−1)2(a2x2−x2−(y(x))2)2−21(a2−1)2(a2x2−x2−(y(x))2)+_C1=0}
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