\[ x y'(x)^2+2 y(x) y'(x)-x=0 \] ✓ Mathematica : cpu = 1.79749 (sec), leaf count = 9073
\[\left \{\left \{y(x)\to \frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}-\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}-\frac {1}{2} \sqrt {\frac {8 x^2}{9}-\frac {-\frac {128}{27} \cosh \left (3 c_1\right )+\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}+\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to \frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}-\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}+\frac {1}{2} \sqrt {\frac {8 x^2}{9}-\frac {-\frac {128}{27} \cosh \left (3 c_1\right )+\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}+\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to \frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}+\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}-\frac {1}{2} \sqrt {\frac {8 x^2}{9}+\frac {-\frac {128}{27} \cosh \left (3 c_1\right )+\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}+\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to \frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}+\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}+\frac {1}{2} \sqrt {\frac {8 x^2}{9}+\frac {-\frac {128}{27} \cosh \left (3 c_1\right )+\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}+\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (2 x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6+40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )+\sqrt {4096 \cosh \left (6 c_1\right ) x^{18}+4096 \sinh \left (6 c_1\right ) x^{18}+768 \cosh \left (12 c_1\right ) x^{12}+768 \sinh \left (12 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (24 c_1\right )+\sinh \left (24 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}+\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to -\frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}-\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}-\frac {1}{2} \sqrt {\frac {8 x^2}{9}-\frac {\frac {128}{27} \cosh \left (3 c_1\right )-\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}-\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to -\frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}-\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}+\frac {1}{2} \sqrt {\frac {8 x^2}{9}-\frac {\frac {128}{27} \cosh \left (3 c_1\right )-\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}-\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to -\frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}+\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}-\frac {1}{2} \sqrt {\frac {8 x^2}{9}+\frac {\frac {128}{27} \cosh \left (3 c_1\right )-\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}-\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \},\left \{y(x)\to -\frac {\cosh \left (3 c_1\right )}{18 x^2}+\frac {\sinh \left (3 c_1\right )}{18 x^2}+\frac {1}{2} \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}+\frac {1}{2} \sqrt {\frac {8 x^2}{9}+\frac {\frac {128}{27} \cosh \left (3 c_1\right )-\frac {8 \cosh \left (9 c_1\right )}{729 x^6}-\frac {128}{27} \sinh \left (3 c_1\right )+\frac {8 \sinh \left (9 c_1\right )}{729 x^6}}{4 \sqrt {\frac {4 x^2}{9}+\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}+\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {\cosh \left (6 c_1\right )}{81 x^4}-\frac {\sinh \left (6 c_1\right )}{81 x^4}}}-\frac {\sqrt [3]{2} \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}}}{9 x^2}-\frac {4\ 2^{2/3} \left (\cosh \left (12 c_1\right )-\sinh \left (12 c_1\right )\right ) \left (2 \cosh \left (12 c_1\right ) x^8+2 \sinh \left (12 c_1\right ) x^8-\cosh \left (6 c_1\right ) x^2-\sinh \left (6 c_1\right ) x^2\right )}{9 \sqrt [3]{32 x^{12}+40 \cosh \left (6 c_1\right ) x^6-40 \sinh \left (6 c_1\right ) x^6-\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )+\left (\cosh \left (18 c_1\right )-\sinh \left (18 c_1\right )\right ) \sqrt {4096 \cosh \left (30 c_1\right ) x^{18}+4096 \sinh \left (30 c_1\right ) x^{18}+768 \cosh \left (24 c_1\right ) x^{12}+768 \sinh \left (24 c_1\right ) x^{12}+48 \cosh \left (18 c_1\right ) x^6+48 \sinh \left (18 c_1\right ) x^6+\cosh \left (12 c_1\right )+\sinh \left (12 c_1\right )}} x^2}+\frac {2 \cosh \left (6 c_1\right )}{81 x^4}-\frac {2 \sinh \left (6 c_1\right )}{81 x^4}}\right \}\right \}\] ✓ Maple : cpu = 0.262 (sec), leaf count = 109
\[ \left \{ x+{\frac {{\it \_C1}}{x} \left ( y \left ( x \right ) -\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}} \right ) \left ( {\frac {1}{{x}^{2}} \left ( 2\,{x}^{2}+6\, \left ( y \left ( x \right ) \right ) ^{2}-6\,y \left ( x \right ) \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}} \right ) } \right ) ^{-{\frac {2}{3}}}}=0,{\frac {{\it \_C1}}{x} \left ( y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}} \right ) \left ( {\frac {1}{{x}^{2}} \left ( 3\,y \left ( x \right ) \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}+{x}^{2}+3\, \left ( y \left ( x \right ) \right ) ^{2} \right ) } \right ) ^{-{\frac {2}{3}}}}+x=0 \right \} \]