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3.324   ODE No. 324

(2x3(y(x))3−x)ddxy(x)+2x3(y(x))3−y(x)=0

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

Mathematica: cpu = 0.026003 (sec), leaf count = 723 {{y(x)→−2x3−c1x26x2+12c1x8−6c12x7+c13x6+33−24c1x12+12c12x11−2c13x10+16x13+27x8−8x9−27x436x2+(2x3−c1x2)26x212c1x8−6c12x7+c13x6+33−24c1x12+12c12x11−2c13x10+16x13+27x8−8x9−27x43},{y(x)→−2x3−c1x26x2−(1−i3)12c1x8−6c12x7+c13x6+33−24c1x12+12c12x11−2c13x10+16x13+27x8−8x9−27x4312x2−(1+i3)(2x3−c1x2)212x212c1x8−6c12x7+c13x6+33−24c1x12+12c12x11−2c13x10+16x13+27x8−8x9−27x43},{y(x)→−2x3−c1x26x2−(1+i3)12c1x8−6c12x7+c13x6+33−24c1x12+12c12x11−2c13x10+16x13+27x8−8x9−27x4312x2−(1−i3)(2x3−c1x2)212x212c1x8−6c12x7+c13x6+33−24c1x12+12c12x11−2c13x10+16x13+27x8−8x9−27x43}}

Maple: cpu = 0.109 (sec), leaf count = 770 {y(x)=16x(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3+(_C1−2x)2x61(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3+_C16−x3,y(x)=−112x(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3−(_C1−2x)2x121(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3+_C16−x3−i23(16x(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3−(_C1−2x)2x61(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3),y(x)=−112x(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3−(_C1−2x)2x121(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3+_C16−x3+i23(16x(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3−(_C1−2x)2x61(_C13x2−6_C12x3+12_C1x4−8x5+3−6_C13x2+36_C12x3−72_C1x4+48x5+81−27)x3)}

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