\[ -c e^{-2 a x}-4 a y(x)-b+2 y'(x)-3 y(x)^2=0 \] ✓ Mathematica : cpu = 0.28252 (sec), leaf count = 2831
\[\left \{\left \{y(x)\to -\frac {2 \left (-2^{-\frac {a \sqrt {4 a^2-3 b}-2 a^2}{a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{a^2}+1} 3^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} a^{-\frac {a \sqrt {4 a^2-3 b}-2 a^2}{2 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}+1} b^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-1} \left (\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}\right ) c^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} e^{-2 a x} J_{\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right ) \Gamma \left (\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}+1\right ) \left (\frac {e^{-2 a x}}{b}\right )^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-1}-2^{-\frac {a \sqrt {4 a^2-3 b}-2 a^2}{a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{a^2}-2} 3^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}+\frac {1}{2}} a^{\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}-\frac {a \sqrt {4 a^2-3 b}-2 a^2}{2 a^2}} b^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-\frac {1}{2}} c^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}+\frac {1}{2}} e^{-2 a x} \left (J_{\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}-1}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right )-J_{\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}+1}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right )\right ) \Gamma \left (\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}+1\right ) \left (\frac {e^{-2 a x}}{b}\right )^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-\frac {1}{2}}+c_1 \left (-2^{-\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{a^2}-2} 3^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}+\frac {1}{2}} b^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-\frac {1}{2}} c^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}+\frac {1}{2}} e^{-2 a x} \left (\frac {e^{-2 a x}}{b}\right )^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-\frac {1}{2}} \left (J_{-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}-1}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right )-J_{1-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right )\right ) \Gamma \left (1-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}\right ) a^{-\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{2 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}-2^{-\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{a^2}+1} 3^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} b^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-1} \left (\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}\right ) c^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} e^{-2 a x} \left (\frac {e^{-2 a x}}{b}\right )^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}-1} J_{-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right ) \Gamma \left (1-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}\right ) a^{-\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{2 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}+1}\right )\right )}{3 \left (2^{-\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{a^2}} 3^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} b^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} c^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} \left (\frac {e^{-2 a x}}{b}\right )^{\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{4 a^2}+\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} J_{-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right ) c_1 \Gamma \left (1-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}\right ) a^{-\frac {-2 a^2-\sqrt {4 a^2-3 b} a}{2 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}+2^{\frac {\sqrt {4 a^4-3 a^2 b}}{a^2}-\frac {a \sqrt {4 a^2-3 b}-2 a^2}{a^2}} 3^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} b^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} c^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} \left (\frac {e^{-2 a x}}{b}\right )^{\frac {a \sqrt {4 a^2-3 b}-2 a^2}{4 a^2}-\frac {\sqrt {4 a^4-3 a^2 b}}{4 a^2}} J_{\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}}\left (\frac {\sqrt {3} \sqrt {b} \sqrt {c} \sqrt {\frac {e^{-2 a x}}{b}}}{2 a}\right ) \Gamma \left (\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}+1\right ) a^{\frac {\sqrt {4 a^4-3 a^2 b}}{2 a^2}-\frac {a \sqrt {4 a^2-3 b}-2 a^2}{2 a^2}}\right )}\right \}\right \}\]
✓ Maple : cpu = 0.233 (sec), leaf count = 256
\[ \left \{ y \left ( x \right ) ={1 \left ( -{{\rm e}^{-ax}}\sqrt {3} \left ( {{\sl Y}_{-{\frac {1}{2\,a} \left ( \sqrt {4\,{a}^{2}-3\,b}-2\,a \right ) }}\left ({\frac {{{\rm e}^{-ax}}\sqrt {3}}{2\,a}\sqrt {c}}\right )}{\it \_C1}+{{\sl J}_{-{\frac {1}{2\,a} \left ( \sqrt {4\,{a}^{2}-3\,b}-2\,a \right ) }}\left ({\frac {{{\rm e}^{-ax}}\sqrt {3}}{2\,a}\sqrt {c}}\right )} \right ) \sqrt {c}- \left ( \sqrt {4\,{a}^{2}-3\,b}+2\,a \right ) \left ( {{\sl Y}_{-{\frac {1}{2\,a}\sqrt {4\,{a}^{2}-3\,b}}}\left ({\frac {{{\rm e}^{-ax}}\sqrt {3}}{2\,a}\sqrt {c}}\right )}{\it \_C1}+{{\sl J}_{-{\frac {1}{2\,a}\sqrt {4\,{a}^{2}-3\,b}}}\left ({\frac {{{\rm e}^{-ax}}\sqrt {3}}{2\,a}\sqrt {c}}\right )} \right ) \right ) \left ( 3\,{{\sl Y}_{-1/2\,{\frac {\sqrt {4\,{a}^{2}-3\,b}}{a}}}\left (1/2\,{\frac {\sqrt {3}\sqrt {c}{{\rm e}^{-ax}}}{a}}\right )}{\it \_C1}+3\,{{\sl J}_{-1/2\,{\frac {\sqrt {4\,{a}^{2}-3\,b}}{a}}}\left (1/2\,{\frac {\sqrt {3}\sqrt {c}{{\rm e}^{-ax}}}{a}}\right )} \right ) ^{-1}} \right \} \]