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2.723   ODE No. 723

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

y′(x)=2a32a3x2−16a2xy(x)2+2ay(x)4+y(x) ✓ Mathematica : cpu = 0.209268 (sec), leaf count = 663

{{y(x)→−9216a5c1x+4(−192a3x−64a4c12)3+(9216a5c1x−432a2−1024a6c13)2−432a2−1024a6c1331223a+−192a3x−64a4c126 22/3a9216a5c1x+4(−192a3x−64a4c12)3+(9216a5c1x−432a2−1024a6c13)2−432a2−1024a6c133+2ac13},{y(x)→(1−i3)9216a5c1x+4(−192a3x−64a4c12)3+(9216a5c1x−432a2−1024a6c13)2−432a2−1024a6c1332423a−(1+i3)(−192a3x−64a4c12)12 22/3a9216a5c1x+4(−192a3x−64a4c12)3+(9216a5c1x−432a2−1024a6c13)2−432a2−1024a6c133+2ac13},{y(x)→(1+i3)9216a5c1x+4(−192a3x−64a4c12)3+(9216a5c1x−432a2−1024a6c13)2−432a2−1024a6c1332423a−(1−i3)(−192a3x−64a4c12)12 22/3a9216a5c1x+4(−192a3x−64a4c12)3+(9216a5c1x−432a2−1024a6c13)2−432a2−1024a6c133+2ac13}} ✓ Maple : cpu = 0.253 (sec), leaf count = 856

{y(x)=−112a(−8_C1a2(64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a23+(−16i_C12a4−48ia3x+i((64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a2)23)3+16_C12a4+48a3x+((64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a2)23)1(64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a23,y(x)=112a(8_C1a2(64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a23+(−16i_C12a4−48ia3x+i((64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a2)23)3−16_C12a4−48a3x−((64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a2)23)1(64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a23,y(x)=16a(64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a23+8a2(a_C12+3x)31(64_C13a4−576_C1a3x+3−12288_C14a7x+24576_C12a6x2−12288a5x3+384_C13a4−3456_C1a3x+81+27)a23+2_C1a3}

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