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d2dx2y(x)=2JacobiSN(x,k)JacobiCN(x,k)JacobiDN(x,k)ddxy(x)−2(1−2(k2+1)(JacobiSN(a,k))2+3k2(JacobiSN(a,k))4)y(x)(JacobiSN(x,k))2−JacobiSN(a,k)=0
Mathematica: cpu = 1.467186 (sec), leaf count = 105 DSolve[y″(x)=−y′(x)(−cn(x|k)dn(x|k)−2sn(x|k))sn(x|k)2−sn(a|k)2−y(x)(6k2sn(a|k)4−4(k2+1)sn(a|k)2+2)sn(x|k)2−sn(a|k)2−1sn(x|k)2−sn(a|k)2,y(x),x]
Maple: cpu = 340.784 (sec), leaf count = 85 {y(x)=DESol({d2dx2_Y(x)−2JacobiSN(x,k)JacobiCN(x,k)JacobiDN(x,k)ddx_Y(x)(JacobiSN(x,k))2−JacobiSN(a,k)−(−2+4(k2+1)(JacobiSN(a,k))2−6k2(JacobiSN(a,k))4)_Y(x)(JacobiSN(x,k))2−JacobiSN(a,k)},{_Y(x)})}
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