2.1613   ODE No. 1613

\[ 6 a^2 y(x)+5 a y'(x)+y''(x)-6 y(x)^2=0 \] Mathematica : cpu = 0.870913 (sec), leaf count = 35

DSolve[6*a^2*y[x] - 6*y[x]^2 + 5*a*Derivative[1][y][x] + Derivative[2][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to a^2 c_1{}^2 e^{-2 a x} \wp \left (e^{-a x} c_1+c_2;0,-1\right )\right \}\right \}\] Maple : cpu = 0.032 (sec), leaf count = 27

dsolve(diff(diff(y(x),x),x)+5*a*diff(y(x),x)-6*y(x)^2+6*a^2*y(x)=0,y(x))
 

\[y \left (x \right ) = \operatorname {WeierstrassP}\left (-\frac {{\mathrm e}^{-a x}}{a}+c_{1}, 0, c_{2}\right ) {\mathrm e}^{-2 a x}\]