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x2y(3)(x)+(x+1)y″(x)−y(x)=0 ✗ Mathematica : cpu = 0.768181 (sec), leaf count = 0 , DifferentialRoot result
\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f818}^{(3)}(\unicode {f817}) \unicode {f817}^2-\unicode {f818}(\unicode {f817})+(\unicode {f817}+1) \unicode {f818}''(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2,\unicode {f818}''(1)=c_3\right \}\right )(x)\right \}\right \}\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f818}^{(3)}(\unicode {f817}) \unicode {f817}^2-\unicode {f818}(\unicode {f817})+(\unicode {f817}+1) \unicode {f818}''(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2,\unicode {f818}''(1)=c_3\right \}\right )(x)\right \}\right \}
✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol
{y(x)=DESol({−_Y(x)+(1+x)d2dx2_Y(x)+x2d3dx3_Y(x)},{_Y(x)})}
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