2.1586   ODE No. 1586

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

(x(aA(2)A(1))+A(2))y(x)(x(aA(3)A(2))+A(3))y(x)y(3)(x)(x(aA(4)A(3))+A(4))y(4)(x)(x(aA(5)A(4))+A(5))x(aA(1)A(0))A(1)+xy(5)(x)=0 Mathematica : cpu = 82.7866 (sec), leaf count = 0 , DifferentialRoot result

\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f817} A(0)-\unicode {f817} a A(1)-A(1)+(\unicode {f817} A(1)-\unicode {f817} a A(2)-A(2)) \unicode {f818}'(\unicode {f817})+(\unicode {f817} A(2)-\unicode {f817} a A(3)-A(3)) \unicode {f818}''(\unicode {f817})+(\unicode {f817} A(3)-\unicode {f817} a A(4)-A(4)) \unicode {f818}^{(3)}(\unicode {f817})+(\unicode {f817} A(4)-\unicode {f817} a A(5)-A(5)) \unicode {f818}^{(4)}(\unicode {f817})+\unicode {f817} \unicode {f818}^{(5)}(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2,\unicode {f818}''(1)=c_3,\unicode {f818}^{(3)}(1)=c_4,\unicode {f818}^{(4)}(1)=c_5\right \}\right )(x)\right \}\right \}

Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

{y(x)=DESol({(axA2xA1+A2)_Y(x)x(axA3xA2+A3)ddx_Y(x)x(axA4xA3+A4)d2dx2_Y(x)x(axA5xA4+A5)d3dx3_Y(x)x+d4dx4_Y(x)axA1xA0+A1x},{_Y(x)})dx+_C1}