5.74   ODE No. 1522

\[ \boxed { 4\,{x}^{4}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) -4\,{x}^{3}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\,{x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -1=0} \]

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

Mathematica: cpu = 0.019502 (sec), leaf count = 44 \[ \left \{\left \{y(x)\to \frac {c_1 x^2}{2}-\frac {c_2 x^2}{4}+\frac {1}{2} c_2 x^2 \log (x)+c_3-\frac {1}{36 x}\right \}\right \} \]

Maple: cpu = 0.032 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}{\it \_C1}\,\ln \left ( x \right ) }{2}}-{\frac {{\it \_C1}\,{x}^{2}}{4}}+{\frac {{x}^{2}{\it \_C2}}{2}}-{\frac {1}{36\,x}}+{\it \_C3} \right \} \]