2.1522   ODE No. 1522

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

\[ 4 x^4 y^{(3)}(x)-4 x^3 y''(x)+4 x^2 y'(x)-1=0 \] Mathematica : cpu = 0.0200418 (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 = 0.047 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}{\it \_C1}\,\ln \left ( x \right ) }{2}}-{\frac {{\it \_C1}\,{x}^{2}}{4}}+{\frac {{\it \_C2}\,{x}^{2}}{2}}-{\frac {1}{36\,x}}+{\it \_C3} \right \} \]