2.372   ODE No. 372

\[ a y(x)+b+y'(x)^2-4 y(x)^3=0 \]

✓ Mathematica : cpu = 0.0057619 (sec), leaf count = 27

DSolve[b + a*y[x] - 4*y[x]^3 + Derivative[1][y][x]^2 == 0,y[x],x]
 

\[\{\{y(x)\to \wp (x-c_1;a,b)\},\{y(x)\to \wp (x+c_1;a,b)\}\}\]

✓ Maple : cpu = 0.05 (sec), leaf count = 227

dsolve(diff(y(x),x)^2-4*y(x)^3+a*y(x)+b = 0,y(x))
 

\[y \left (x \right ) = \frac {\left (27 b +3 \sqrt {-3 a^{3}+81 b^{2}}\right )^{{2}/{3}}+3 a}{6 \left (27 b +3 \sqrt {-3 a^{3}+81 b^{2}}\right )^{{1}/{3}}}\]