5.34   ODE No. 1482

$$\boxed{{\displaystyle 2x\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+3\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+axy\left(x\right)-b=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.219 (sec), leaf count = 2292 $$\{y\left(x\right)=\int 350350bx(8x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a-5x^3{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a+70{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})){(10192x^9{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^3-7840x^9{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^3-6370x^9{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^3+3850x^9{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^3+2800x^9{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a^3-2200x^9{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a^3+89180x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^2-78400x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a^2+560560x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^2+19250x^6{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a^2-700700x^6{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^2+200200x^6{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a^2-7357350x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a+16816800x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a-7882875x^3{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a+24524500{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}))}^{-1}\mathrm{d}x{}_0\text{F}{}_2(;\frac{2}{3},\frac{5}{6};-\frac{a{x}^3}{54})+\int 700700b(7x^3{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a-4x^3{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a+35{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54})){(10192x^9{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^3-7840x^9{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^3-6370x^9{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^3+3850x^9{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^3+2800x^9{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a^3-2200x^9{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a^3+89180x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^2-78400x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a^2+560560x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^2+19250x^6{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a^2-700700x^6{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^2+200200x^6{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a^2-7357350x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a+16816800x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a-7882875x^3{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a+24524500{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}))}^{-1}\mathrm{d}x{}_0\text{F}{}_2(;\frac{7}{6},\frac{4}{3};-\frac{a{x}^3}{54})x-\int 350350b\sqrt{x}(14{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})x^3{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a-5{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a{x}^3+140{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})){(10192x^9{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^3-7840x^9{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^3-6370x^9{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^3+3850x^9{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^3+2800x^9{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a^3-2200x^9{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a^3+89180x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a^2-78400x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a^2+560560x^6{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^2+19250x^6{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a^2-700700x^6{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a^2+200200x^6{}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a^2-7357350x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})a+16816800x^3{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a-7882875x^3{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a+24524500{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54}))}^{-1}\mathrm{d}x\sqrt{x}{}_0\text{F}{}_2(;\frac{5}{6},\frac{7}{6};-\frac{a{x}^3}{54})+\mathit{\_}\mathit{C}\mathit{1}{}_0\text{F}{}_2(;\frac{2}{3},\frac{5}{6};-\frac{a{x}^3}{54})+\mathit{\_}\mathit{C}\mathit{2}{}_0\text{F}{}_2(;\frac{7}{6},\frac{4}{3};-\frac{a{x}^3}{54})x+\mathit{\_}\mathit{C}\mathit{3}\sqrt{x}{}_0\text{F}{}_2(;\frac{5}{6},\frac{7}{6};-\frac{a{x}^3}{54})\}$$