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2.562   ODE No. 562

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

ay′(x)3+13+bxy′(x)−y(x)=0 ✗ Mathematica : cpu = 300.342 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.476 (sec), leaf count = 3961

{x−(12b3x3+2a3(2b2x2y(x)−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−4(y(x))2a2bx+a(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23)1−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63)−bb−1(∫12b3x3+2a3(2b2x2y(x)−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−4(y(x))2a2bx+a(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23)1−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−ab−1_a1+bb−1(_a3+1)−23d_a+_C1)=0,x−(−14b3x3+4a3(4i3a2bx(y(x))2−4b2x2y(x)−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−4(y(x))2a2bx+i3(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23a+a(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23)1−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63)−bb−1(∫−14b3x3+4a3(4i3a2bx(y(x))2−4b2x2y(x)−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−4(y(x))2a2bx+i3(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23a+a(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23)1−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−ab−1_a1+bb−1(_a3+1)−23d_a+_C1)=0,x−(14b3x3+4a3(4i3a2bx(y(x))2+4b2x2y(x)−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63+4(y(x))2a2bx+i3(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23a−a(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23)1−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63)−bb−1(∫14b3x3+4a3(4i3a2bx(y(x))2+4b2x2y(x)−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63+4(y(x))2a2bx+i3(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23a−a(−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6)23)1−4b6x6−8a3b3x3−4b3x3(y(x))3+4b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))6b3x3−4a6+4(y(x))3a3+4a3b6x6+2a3b3x3+2b3x3(y(x))3+a6−2(y(x))3a3+(y(x))63−ab−1_a1+bb−1(_a3+1)−23d_a+_C1)=0}

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