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

2.529   ODE No. 529

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

y′(x)3+xy′(x)2−y(x)=0 ✓ Mathematica : cpu = 39.3703 (sec), leaf count = 1758

{{y(x)→12(4 22/3x43(−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+54)2/3+423x33−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543+8 22/3x3(−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+54)2/3+623x2−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543+18 22/3x2(−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+54)2/3−x23+1322/3−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543x−−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543x323+923x−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543+18 22/3x(−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+54)2/3+x+2c1+(−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+54)2/312 22/3+−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543223+922/3−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543+27223(−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+54)2/3+94)},{y(x)→12(3(16(3−2x)−(1−i3)−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+5431223+(1+i3)(−4x2−12x−9)6 22/3−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543)2+4x(16(3−2x)−(1−i3)−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+5431223+(1+i3)(−4x2−12x−9)6 22/3−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543)−2x+2c1)},{y(x)→12(3(16(3−2x)−(1+i3)−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+5431223+(1−i3)(−4x2−12x−9)6 22/3−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543)2+4x(16(3−2x)−(1+i3)−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+5431223+(1−i3)(−4x2−12x−9)6 22/3−16x3−72x2−108x+216c1+4(−4x2−12x−9)3+(−16x3−72x2−108x+216c1+54)2+543)−2x+2c1)}} ✓ Maple : cpu = 0.037 (sec), leaf count = 1251

{y(x)=0,y(x)=1((4x−6)−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x)3+(i(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23−4ix2−12ix−9i)3+(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23+4x2+12x+9)2((−8x−6)−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x)3+(i(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23−4ix2−12ix−9i)3+(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23+4x2+12x+9)(13824x3+62208x2+93312x−186624_C1−10368−6(1+2_C1)(4x3+18x2−27_C1+27x)−46656)−1,y(x)=−1((−4x+6)−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x)3+(i(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23−4ix2−12ix−9i)3−(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23−4x2−12x−9)2((8x+6)−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x)3+(i(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23−4ix2−12ix−9i)3−(−36x2−54x+108_C1−8x3+27+6−6(1+2_C1)(4x3+18x2−27_C1+27x))23−4x2−12x−9)(13824x3+62208x2+93312x−186624_C1−10368−6(1+2_C1)(4x3+18x2−27_C1+27x)−46656)−1,y(x)=1216(4x2−36x2−54x+108_C1−8x3+27+6−48_C1x3−216x2_C1−24x3+324_C12−324x_C1−108x2+162_C1−162x3+12x−36x2−54x+108_C1−8x3+27+6−48_C1x3−216x2_C1−24x3+324_C12−324x_C1−108x2+162_C1−162x3−2x+91−36x2−54x+108_C1−8x3+27+6−48_C1x3−216x2_C1−24x3+324_C12−324x_C1−108x2+162_C1−162x3+−36x2−54x+108_C1−8x3+27+6−48_C1x3−216x2_C1−24x3+324_C12−324x_C1−108x2+162_C1−162x3+3)3+4x9(1(x+32)21−36x2−54x+108_C1−8x3+27+6−48_C1x3−216x2_C1−24x3+324_C12−324x_C1−108x2+162_C1−162x3−x2+14−36x2−54x+108_C1−8x3+27+6−48_C1x3−216x2_C1−24x3+324_C12−324x_C1−108x2+162_C1−162x3+34)2}

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