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2.88   ODE No. 88

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

−ce−2ax−4ay(x)−b+2y′(x)−3y(x)2=0 ✓ Mathematica : cpu = 0.280286 (sec), leaf count = 2831

{{y(x)→−2(−2−a4a2−3b−2a2a2+4a4−3a2ba2+13a4a2−3b−2a24a2−4a4−3a2b4a2a−a4a2−3b−2a22a2+4a4−3a2b2a2+1ba4a2−3b−2a24a2−4a4−3a2b4a2−1(a4a2−3b−2a24a2−4a4−3a2b4a2)ca4a2−3b−2a24a2−4a4−3a2b4a2e−2axJ4a4−3a2b2a2(3bce−2axb2a)Γ(4a4−3a2b2a2+1)(e−2axb)a4a2−3b−2a24a2−4a4−3a2b4a2−1−2−a4a2−3b−2a2a2+4a4−3a2ba2−23a4a2−3b−2a24a2−4a4−3a2b4a2+12a4a4−3a2b2a2−a4a2−3b−2a22a2ba4a2−3b−2a24a2−4a4−3a2b4a2−12ca4a2−3b−2a24a2−4a4−3a2b4a2+12e−2ax(J4a4−3a2b2a2−1(3bce−2axb2a)−J4a4−3a2b2a2+1(3bce−2axb2a))Γ(4a4−3a2b2a2+1)(e−2axb)a4a2−3b−2a24a2−4a4−3a2b4a2−12+c1(−2−−2a2−4a2−3baa2−4a4−3a2ba2−23−2a2−4a2−3ba4a2+4a4−3a2b4a2+12b−2a2−4a2−3ba4a2+4a4−3a2b4a2−12c−2a2−4a2−3ba4a2+4a4−3a2b4a2+12e−2ax(e−2axb)−2a2−4a2−3ba4a2+4a4−3a2b4a2−12(J−4a4−3a2b2a2−1(3bce−2axb2a)−J1−4a4−3a2b2a2(3bce−2axb2a))Γ(1−4a4−3a2b2a2)a−−2a2−4a2−3ba2a2−4a4−3a2b2a2−2−−2a2−4a2−3baa2−4a4−3a2ba2+13−2a2−4a2−3ba4a2+4a4−3a2b4a2b−2a2−4a2−3ba4a2+4a4−3a2b4a2−1(−2a2−4a2−3ba4a2+4a4−3a2b4a2)c−2a2−4a2−3ba4a2+4a4−3a2b4a2e−2ax(e−2axb)−2a2−4a2−3ba4a2+4a4−3a2b4a2−1J−4a4−3a2b2a2(3bce−2axb2a)Γ(1−4a4−3a2b2a2)a−−2a2−4a2−3ba2a2−4a4−3a2b2a2+1))3(2−−2a2−4a2−3baa2−4a4−3a2ba23−2a2−4a2−3ba4a2+4a4−3a2b4a2b−2a2−4a2−3ba4a2+4a4−3a2b4a2c−2a2−4a2−3ba4a2+4a4−3a2b4a2(e−2axb)−2a2−4a2−3ba4a2+4a4−3a2b4a2J−4a4−3a2b2a2(3bce−2axb2a)c1Γ(1−4a4−3a2b2a2)a−−2a2−4a2−3ba2a2−4a4−3a2b2a2+24a4−3a2ba2−a4a2−3b−2a2a23a4a2−3b−2a24a2−4a4−3a2b4a2ba4a2−3b−2a24a2−4a4−3a2b4a2ca4a2−3b−2a24a2−4a4−3a2b4a2(e−2axb)a4a2−3b−2a24a2−4a4−3a2b4a2J4a4−3a2b2a2(3bce−2axb2a)Γ(4a4−3a2b2a2+1)a4a4−3a2b2a2−a4a2−3b−2a22a2)}}

✓ Maple : cpu = 0.226 (sec), leaf count = 420

{y(x)=(−3_C13cY−12a(4a2−3b−2a)(3e−ax2ac)(Y−12a4a2−3b(3e−ax2ac)_C1+J−12a4a2−3b(3e−ax2ac))−1−33J−12a(4a2−3b−2a)(3e−ax2ac)c(Y−12a4a2−3b(3e−ax2ac)_C1+J−12a4a2−3b(3e−ax2ac))−1)e−ax−13((4a2−3b_C1+2_C1a)Y−12a4a2−3b(3e−ax2ac)+(4a2−3b+2a)J−12a4a2−3b(3e−ax2ac))(Y−12a4a2−3b(3e−ax2ac)_C1+J−12a4a2−3b(3e−ax2ac))−1}

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