2.1073   ODE No. 1073

\[ \frac {y'(x) \left (-\wp (x;a,b) \wp '(x;a,b)+\wp (x;a,b)^3-6 \wp (x;a,b)^2+\frac {a}{2}\right )}{\wp '(x;a,b)-\wp (x;a,b)^2}+\frac {y(x) \left (\wp (x;a,b)^2 (-\wp '(x;a,b))-\left (6 \wp (x;a,b)^2-\frac {a}{2}\right ) \wp (x;a,b)+\wp '(x;a,b)^2\right )}{\wp (x;a,b)^2+\wp '(x;a,b)}+y''(x)=0 \]

✗ Mathematica : cpu = 0.668766 (sec), leaf count = 0

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]
 

, 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

dsolve(diff(diff(y(x),x),x)+(11*WeierstrassP(x,a,b)*WeierstrassPPrime(x,a,b)-6*WeierstrassP(x,a,b)^2+1/2*a)*diff(y(x),x)/(WeierstrassPPrime(x,a,b)+WeierstrassP(x,a,b)^2)+(WeierstrassPPrime(x,a,b)^2-WeierstrassP(x,a,b)^2*WeierstrassPPrime(x,a,b)-WeierstrassP(x,a,b)*(6*WeierstrassP(x,a,b)^2-1/2*a))*y(x)/(WeierstrassPPrime(x,a,b)+WeierstrassP(x,a,b)^2)=0,y(x))
 

, result contains DESol or ODESolStruc

\[y \left (x \right ) = \operatorname {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )+\frac {\left (11 \operatorname {WeierstrassP}\left (x , a , b\right ) \operatorname {WeierstrassPPrime}\left (x , a , b\right )-6 \operatorname {WeierstrassP}\left (x , a , b\right )^{2}+\frac {a}{2}\right ) \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )}{\operatorname {WeierstrassPPrime}\left (x , a , b\right )+\operatorname {WeierstrassP}\left (x , a , b\right )^{2}}+\frac {\left (\operatorname {WeierstrassPPrime}\left (x , a , b\right )^{2}-\operatorname {WeierstrassP}\left (x , a , b\right )^{2} \operatorname {WeierstrassPPrime}\left (x , a , b\right )-\operatorname {WeierstrassP}\left (x , a , b\right ) \left (6 \operatorname {WeierstrassP}\left (x , a , b\right )^{2}-\frac {a}{2}\right )\right ) \textit {\_Y} \left (x \right )}{\operatorname {WeierstrassPPrime}\left (x , a , b\right )+\operatorname {WeierstrassP}\left (x , a , b\right )^{2}}\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]