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6.4   ODE No. 1537

d4y(x)−12d2dx2y(x)+12y(x)−16x4ex2=0

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

Mathematica: cpu = 0.828605 (sec), leaf count = 1722 {{y(x)→112e−(2(3−6)−x)x−2(3+6)x−2(3−6)x(−23+6e2(3+6)x+22(3−6)xx3+23+6e(2(3−6)−x)x+(x+2(3−6))x+2(3+6)xx3+23−6e(2(3−6)−x)x+(x−2(3+6))x+22(3+6)x+2(3−6)xx3−23−6e(2(3−6)−x)x+(x+2(3+6))x+2(3−6)xx3−2(3−6)(3+6)e2(3+6)x+22(3−6)xx2−2(3−6)(3+6)e(2(3−6)−x)x+(x+2(3−6))x+2(3+6)xx2+2(3−6)(3+6)e(2(3−6)−x)x+(x−2(3+6))x+22(3+6)x+2(3−6)xx2+2(3−6)(3+6)e(2(3−6)−x)x+(x+2(3+6))x+2(3−6)xx2+6(3+6)e2(3+6)x+22(3−6)xx−6(3+6)e(2(3−6)−x)x+(x+2(3−6))x+2(3+6)xx+6(3−6)e(2(3−6)−x)x+(x−2(3+6))x+22(3+6)x+2(3−6)xx−6(3−6)e(2(3−6)−x)x+(x+2(3+6))x+2(3−6)xx+3(3−6)(3+6)e2(3+6)x+22(3−6)x+2(3−6)(3+6)e2(3+6)x+22(3−6)x+3(3−6)(3+6)e(2(3−6)−x)x+(x+2(3−6))x+2(3+6)x+2(3−6)(3+6)e(2(3−6)−x)x+(x+2(3−6))x+2(3+6)x+3(3−6)(3+6)e(2(3−6)−x)x+(x−2(3+6))x+22(3+6)x+2(3−6)x−2(3−6)(3+6)e(2(3−6)−x)x+(x−2(3+6))x+22(3+6)x+2(3−6)x+3(3−6)(3+6)e(2(3−6)−x)x+(x+2(3+6))x+2(3−6)x−2(3−6)(3+6)e(2(3−6)−x)x+(x+2(3+6))x+2(3−6)x)+e2(3−6)xc1+e−2(3−6)xc2+e2(3+6)xc3+e−2(3+6)xc4}}

Maple: cpu = 0.141 (sec), leaf count = 67 {y(x)=ex2+_C1e6−26x+_C2e6+26x+_C3e−6−26x+_C4e−6+26x}

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