#### 2.372   ODE No. 372

$a y(x)+b+y'(x)^2-4 y(x)^3=0$ Mathematica : cpu = 0.0030306 (sec), leaf count = 27

$\{\{y(x)\to \wp \left (x-c_1;a,b\right )\},\{y(x)\to \wp \left (x+c_1;a,b\right )\}\}$ Maple : cpu = 0.04 (sec), leaf count = 232

$\left \{ y \left ( x \right ) =-{\frac {1}{12} \left ( \left ( i \left ( 27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}} \right ) ^{{\frac {2}{3}}}-3\,ia \right ) \sqrt {3}+ \left ( 27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}} \right ) ^{{\frac {2}{3}}}+3\,a \right ) {\frac {1}{\sqrt [3]{27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}}}}}},y \left ( x \right ) ={\frac {1}{6} \left ( \left ( 27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}} \right ) ^{{\frac {2}{3}}}+3\,a \right ) {\frac {1}{\sqrt [3]{27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}}}}}},y \left ( x \right ) ={\frac {1}{12} \left ( i\sqrt {3} \left ( 27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}} \right ) ^{{\frac {2}{3}}}-3\,i\sqrt {3}a- \left ( 27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}} \right ) ^{{\frac {2}{3}}}-3\,a \right ) {\frac {1}{\sqrt [3]{27\,b+3\,\sqrt {-3\,{a}^{3}+81\,{b}^{2}}}}}},y \left ( x \right ) ={\it WeierstrassP} \left ( x+{\it \_C1},a,b \right ) \right \}$