ODE No. 1661

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

\[ 8 y''(x)+9 y'(x)^4=0 \] Mathematica : cpu = 0.0311787 (sec), leaf count = 92

\[\left \{\left \{y(x)\to c_2-\frac {1}{3} \sqrt [3]{-\frac {1}{3}} \left (9 x-8 c_1\right ){}^{2/3}\right \},\left \{y(x)\to \frac {\left (9 x-8 c_1\right ){}^{2/3}}{3 \sqrt [3]{3}}+c_2\right \},\left \{y(x)\to \frac {(-1)^{2/3} \left (9 x-8 c_1\right ){}^{2/3}}{3 \sqrt [3]{3}}+c_2\right \}\right \}\] Maple : cpu = 0.101 (sec), leaf count = 51

\[ \left \{ y \left ( x \right ) = \left ( {\it \_C1}+x \right ) ^{{\frac {2}{3}}}+{\it \_C2},y \left ( x \right ) ={\frac {i\sqrt {3}-1}{2} \left ( {\it \_C1}+x \right ) ^{{\frac {2}{3}}}}+{\it \_C2},y \left ( x \right ) =-{\frac {i\sqrt {3}+1}{2} \left ( {\it \_C1}+x \right ) ^{{\frac {2}{3}}}}+{\it \_C2} \right \} \]