[next] [prev] [prev-tail] [tail] [up]

2.252   ODE No. 252

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

(x2y(x)−1)y′(x)−xy(x)2+1=0 ✓ Mathematica : cpu = 11.0152 (sec), leaf count = 819

{{y(x)→6xc1−x6c1−1+−1944c12x3+648c1x3−54x3+1944c12−648c1+4(54x2c1−9x2)3+(−1944c12x3+648c1x3−54x3+1944c12−648c1+54)2+543323(6c1−1)−23(54x2c1−9x2)3(6c1−1)−1944c12x3+648c1x3−54x3+1944c12−648c1+4(54x2c1−9x2)3+(−1944c12x3+648c1x3−54x3+1944c12−648c1+54)2+543},{y(x)→6xc1−x6c1−1−(1−i3)−1944c12x3+648c1x3−54x3+1944c12−648c1+4(54x2c1−9x2)3+(−1944c12x3+648c1x3−54x3+1944c12−648c1+54)2+543623(6c1−1)+(1+i3)(54x2c1−9x2)3 22/3(6c1−1)−1944c12x3+648c1x3−54x3+1944c12−648c1+4(54x2c1−9x2)3+(−1944c12x3+648c1x3−54x3+1944c12−648c1+54)2+543},{y(x)→6xc1−x6c1−1−(1+i3)−1944c12x3+648c1x3−54x3+1944c12−648c1+4(54x2c1−9x2)3+(−1944c12x3+648c1x3−54x3+1944c12−648c1+54)2+543623(6c1−1)+(1−i3)(54x2c1−9x2)3 22/3(6c1−1)−1944c12x3+648c1x3−54x3+1944c12−648c1+4(54x2c1−9x2)3+(−1944c12x3+648c1x3−54x3+1944c12−648c1+54)2+543}} ✓ Maple : cpu = 0.597 (sec), leaf count = 1338

{y(x)=(((−_C1+80)x7−160x4+80x)43(−80+(_C1−80)x6+160x3)2(−14+−5x6+10x3−5−80+(_C1−80)x6+160x3)_C13+(_C12−80_C1)x8+160_C1x5−80_C1x2+(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)((80+(−_C1+80)x6−160x3)43(−80+(_C1−80)x6+160x3)2(−14+−5x6+10x3−5−80+(_C1−80)x6+160x3)_C13+x2((_C12−80_C1)x8+160_C1x5−80_C1x2+(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23))−1,y(x)=(((−2_C1+160)x7−320x4+160x)43(−80+(_C1−80)x6+160x3)2(−14+−5x6+10x3−5−80+(_C1−80)x6+160x3)_C13+(−i_C1(_C1−80)x8−160i_C1x5+80i_C1x2+i(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)3+(−_C12+80_C1)x8−160_C1x5+80_C1x2−(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)((160+(−2_C1+160)x6−320x3)43(−80+(_C1−80)x6+160x3)2(−14+−5x6+10x3−5−80+(_C1−80)x6+160x3)_C13+x2((−i_C1(_C1−80)x8−160i_C1x5+80i_C1x2+i(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)3+(−_C12+80_C1)x8−160_C1x5+80_C1x2−(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23))−1,y(x)=(((2_C1−160)x7+320x4−160x)43(−80+(_C1−80)x6+160x3)2(−14+−5x6+10x3−5−80+(_C1−80)x6+160x3)_C13+(−i_C1(_C1−80)x8−160i_C1x5+80i_C1x2+i(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)3+(_C12−80_C1)x8+160_C1x5−80_C1x2+(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)((−160+(2_C1−160)x6+320x3)43(−80+(_C1−80)x6+160x3)2(−14+−5x6+10x3−5−80+(_C1−80)x6+160x3)_C13+x2((−i_C1(_C1−80)x8−160i_C1x5+80i_C1x2+i(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23)3+(_C12−80_C1)x8+160_C1x5−80_C1x2+(_C1(−1+4−5x6+10x3−5−80+(_C1−80)x6+160x3)(_C1x6−80x6+160x3−80)2)23))−1}

[next] [prev] [prev-tail] [front] [up]