4.324   ODE No. 1324

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) ={\frac { \left ( 5\,x-4 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x \left ( x-1 \right ) }}-{\frac { \left ( 9\,x-6 \right ) y \left ( x \right ) }{{x}^{2} \left ( x-1 \right ) }}=0} \]

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

Mathematica: cpu = 0.029004 (sec), leaf count = 25 \[ \left \{\left \{y(x)\to c_1 x^3-c_2 x^2 (x \log (x)+1)\right \}\right \} \]

Maple: cpu = 0.047 (sec), leaf count = 21 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{3}+{\it \_C2}\,{x}^{2} \left ( x\ln \left ( x \right ) +1 \right ) \right \} \]