2.1482   ODE No. 1482

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

$$axy(x)-b+2x{y}^{(3)}(x)+3y^{″}(x)=0$$ ✗ Mathematica : cpu = 300.029 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.451 (sec), leaf count = 1616

$$\{y\left(x\right)=-\int 2802800bx((-5/8{}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a{x}^3+\frac{35}{4}{}_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})+x^3{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})a){(((-89180a^2{x}^6{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})+7357350a{x}^3{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})-24524500{}_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})-3850a((5{}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a{x}^3-\frac{4095}{2}{}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54})+a((-\frac{91a{x}^3}{55}{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})-182{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})+a{}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})x^3{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54}))x^3)x^3){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})+2200a{x}^3(((\frac{392a{x}^3}{11}{}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})-7644{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54})-\frac{1274a{x}^3}{275}(({}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a{x}^3+55{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})-\frac{10a{x}^3}{13}{}_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}))){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})+a{x}^3{}_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{x}^3-91{}_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})-\frac{14a{x}^3}{11}{}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\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 -2802800b((x^3{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a-\frac{35}{4}{}_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})-7/4x^3{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})a){(((-19250a^2{}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})x^6+7882875{}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a{x}^3-24524500{}_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})+2200a((\frac{392a{x}^3}{11}{}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})-7644{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})+a{x}^3(({}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a{x}^3-91{}_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})-\frac{14a{x}^3}{11}{}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})))x^3){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54})-10192a(((\frac{35a{x}^3}{4}{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})-\frac{5775}{8}{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})+\frac{275a{x}^3}{728}(({}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a{x}^3-182{}_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})-\frac{91a{x}^3}{55}{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}))){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})+a{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})x^3(({}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a{x}^3+55{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})-\frac{10a{x}^3}{13}{}_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})))x^3)}^{-1}\mathrm{d}x{}_0\text{F}{}_2(;\frac{7}{6},\frac{4}{3};-\frac{a{x}^3}{54})x-\int -1751750\sqrt{x}b(({}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})a{x}^3-28{}_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})-\frac{14a{x}^3}{5}{}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})){(((-78400a^2{}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})x^6+16816800x^3{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})a+24524500{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})+19250a({}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})a{x}^3-\frac{819}{2}{}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54}))x^3{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})+2800a^2(({}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})a{x}^3+\frac{143}{2}{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})-\frac{11a{x}^3}{14}{}_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}))x^6){}_0\text{F}{}_2(;2/3,5/6;-\frac{a{x}^3}{54})-6370a(((-14{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54})a{x}^3+1155{}_0\text{F}{}_2(;5/3,\frac{11}{6};-\frac{a{x}^3}{54})){}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})-8/5a((-\frac{10a{x}^3}{13}{}_0\text{F}{}_2(;\frac{17}{6},\frac{19}{6};-\frac{a{x}^3}{54})+55{}_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{}_0\text{F}{}_2(;\frac{11}{6},\frac{13}{6};-\frac{a{x}^3}{54})x^3{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54}))x^3){}_0\text{F}{}_2(;7/6,4/3;-\frac{a{x}^3}{54})+a{}_0\text{F}{}_2(;5/6,7/6;-\frac{a{x}^3}{54})x^3((-\frac{55a{x}^3}{91}{}_0\text{F}{}_2(;\frac{19}{6},10/3;-\frac{a{x}^3}{54})+110{}_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{x}^3{}_0\text{F}{}_2(;8/3,\frac{17}{6};-\frac{a{x}^3}{54}){}_0\text{F}{}_2(;\frac{13}{6},7/3;-\frac{a{x}^3}{54})))x^3)}^{-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})\}$$