\[ \frac {y'(x) \left (-\wp (x;a,b) \wp '(x;a,b)+\wp (x;a,b)^3-6 \wp (x;a,b)^2+\frac {a}{2}\right )}{\wp '(x;a,b)-\wp (x;a,b)^2}+\frac {y(x) \left (\wp (x;a,b)^2 (-\wp '(x;a,b))-\left (6 \wp (x;a,b)^2-\frac {a}{2}\right ) \wp (x;a,b)+\wp '(x;a,b)^2\right )}{\wp (x;a,b)^2+\wp '(x;a,b)}+y''(x)=0 \] ✗ Mathematica : cpu = 1.06813 (sec), leaf count = 0
, could not solve
DSolve[((-(WeierstrassP[x, {a, b}]*(-1/2*a + 6*WeierstrassP[x, {a, b}]^2)) - WeierstrassP[x, {a, b}]^2*WeierstrassPPrime[x, {a, b}] + WeierstrassPPrime[x, {a, b}]^2)*y[x])/(WeierstrassP[x, {a, b}]^2 + WeierstrassPPrime[x, {a, b}]) + ((a/2 - 6*WeierstrassP[x, {a, b}]^2 + WeierstrassP[x, {a, b}]^3 - WeierstrassP[x, {a, b}]*WeierstrassPPrime[x, {a, b}])*Derivative[1][y][x])/(-WeierstrassP[x, {a, b}]^2 + WeierstrassPPrime[x, {a, b}]) + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )+\frac {\left (11 \WeierstrassP \left (x , a , b\right ) \mathcal {P}^{\prime }\left (x ;a ,b \right )-6 \WeierstrassP \left (x , a , b\right )^{2}+\frac {a}{2}\right ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )}{\mathcal {P}^{\prime }\left (x ;a ,b \right )+\WeierstrassP \left (x , a , b\right )^{2}}+\frac {\left (\mathcal {P}^{\prime }\left (x ;a ,b \right )^{2}-\WeierstrassP \left (x , a , b\right )^{2} \mathcal {P}^{\prime }\left (x ;a ,b \right )-\WeierstrassP \left (x , a , b\right ) \left (6 \WeierstrassP \left (x , a , b\right )^{2}-\frac {a}{2}\right )\right ) \textit {\_Y} \relax (x )}{\mathcal {P}^{\prime }\left (x ;a ,b \right )+\WeierstrassP \left (x , a , b\right )^{2}}\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]