2.926   ODE No. 926

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {\frac {1}{16} x^3 y(x)^3-\frac {1}{2} x^2 y(x)^3-\frac {3}{8} x^2 y(x)^2+x y(x)^3+x y(x)^2+\frac {3}{4} x y(x)-\frac {1}{2}}{x (x y(x)-2 y(x)-2)} \] Mathematica : cpu = 0.0260068 (sec), leaf count = 77

\[\left \{\left \{y(x)\to \frac {2 \left (\sqrt {c_1+2048 \log (x)}-64\right )}{x \left (\sqrt {c_1+2048 \log (x)}-64\right )+128}\right \},\left \{y(x)\to \frac {2 \left (\sqrt {c_1+2048 \log (x)}+64\right )}{x \left (\sqrt {c_1+2048 \log (x)}+64\right )-128}\right \}\right \}\]

Maple : cpu = 0.116 (sec), leaf count = 67

\[ \left \{ y \left ( x \right ) ={1 \left ( 2\,\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }-8 \right ) \left ( x\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }-4\,x+8 \right ) ^{-1}},y \left ( x \right ) ={1 \left ( 2\,\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }+8 \right ) \left ( x\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }+4\,x-8 \right ) ^{-1}} \right \} \]