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y″(x)=−y(x)((1−a)ax2−b(b+x))x4 ✗ Mathematica : cpu = 0.697167 (sec), leaf count = 0 , DifferentialRoot result
\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f818}''(\unicode {f817}) \unicode {f817}^4+\left (-a^2 \unicode {f817}^2+a \unicode {f817}^2-b \unicode {f817}-b^2\right ) \unicode {f818}(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2\right \}\right )(x)\right \}\right \}\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f818}''(\unicode {f817}) \unicode {f817}^4+\left (-a^2 \unicode {f817}^2+a \unicode {f817}^2-b \unicode {f817}-b^2\right ) \unicode {f818}(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2\right \}\right )(x)\right \}\right \}
✓ Maple : cpu = 0.108 (sec), leaf count = 58
{y(x)=Ia+1(bx)_C1b−Ka+1(bx)_C2b+2(_C1Ia(bx)+_C2Ka(bx))(ax+b/2)}
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