2.1589   ODE No. 1589

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

$$x^{11/2}{y}^{(11)}(x)-ay(x)=0$$ ✓ Mathematica : cpu = 0.0488689 (sec), leaf count = 670

$$\left\{\{y(x)\to \frac{4}{121}(-1{)}^{2/11}{a}^{2/11}{c}_{2}x{}_0{F}_{10}(;-\frac{7}{11},-\frac{5}{11},-\frac{3}{11},-\frac{1}{11},\frac{1}{11},\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11};\frac{2048a{x}^{11/2}}{285311670611})-\frac{1048576(-1{)}^{9/11}{a}^{20/11}{c}_{11}{x}^{10}{}_0{F}_{10}(;\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11},\frac{21}{11},\frac{23}{11},\frac{25}{11},\frac{27}{11},\frac{29}{11},\frac{31}{11};\frac{2048a{x}^{11/2}}{285311670611})}{672749994932560009201}-\frac{262144(-1{)}^{7/11}{a}^{18/11}{c}_{10}{x}^9{}_0{F}_{10}(;\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11},\frac{21}{11},\frac{23}{11},\frac{25}{11},\frac{27}{11},\frac{29}{11};\frac{2048a{x}^{11/2}}{285311670611})}{5559917313492231481}-\frac{65536(-1{)}^{5/11}{a}^{16/11}{c}_9{x}^8{}_0{F}_{10}(;\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11},\frac{21}{11},\frac{23}{11},\frac{25}{11},\frac{27}{11};\frac{2048a{x}^{11/2}}{285311670611})}{45949729863572161}-\frac{16384(-1{)}^{3/11}{a}^{14/11}{c}_8{x}^7{}_0{F}_{10}(;\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11},\frac{21}{11},\frac{23}{11},\frac{25}{11};\frac{2048a{x}^{11/2}}{285311670611})}{379749833583241}-\frac{4096\sqrt[11]{-1}{a}^{12/11}{c}_7{x}^6{}_0{F}_{10}(;\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11},\frac{21}{11},\frac{23}{11};\frac{2048a{x}^{11/2}}{285311670611})}{3138428376721}+\frac{1024(-1{)}^{10/11}{a}^{10/11}{c}_6{x}^5{}_0{F}_{10}(;\frac{1}{11},\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11},\frac{21}{11};\frac{2048a{x}^{11/2}}{285311670611})}{25937424601}+\frac{256(-1{)}^{8/11}{a}^{8/11}{c}_5{x}^4{}_0{F}_{10}(;-\frac{1}{11},\frac{1}{11},\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11},\frac{19}{11};\frac{2048a{x}^{11/2}}{285311670611})}{214358881}+\frac{64(-1{)}^{6/11}{a}^{6/11}{c}_4{x}^3{}_0{F}_{10}(;-\frac{3}{11},-\frac{1}{11},\frac{1}{11},\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11},\frac{17}{11};\frac{2048a{x}^{11/2}}{285311670611})}{1771561}+\frac{16(-1{)}^{4/11}{a}^{4/11}{c}_3{x}^2{}_0{F}_{10}(;-\frac{5}{11},-\frac{3}{11},-\frac{1}{11},\frac{1}{11},\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11},\frac{13}{11},\frac{15}{11};\frac{2048a{x}^{11/2}}{285311670611})}{14641}+c_1{}_0{F}_{10}(;-\frac{9}{11},-\frac{7}{11},-\frac{5}{11},-\frac{3}{11},-\frac{1}{11},\frac{1}{11},\frac{3}{11},\frac{5}{11},\frac{7}{11},\frac{9}{11};\frac{2048a{x}^{11/2}}{285311670611})\}\right\}$$

✓ Maple : cpu = 8.655 (sec), leaf count = 27500

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