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 = 0.0212998 (sec), leaf count = 42

\[\left \{\left \{y(x)\to \frac {1}{4} \left (2 c_1-c_2\right ) x^2+\frac {1}{2} c_2 x^2 \log (x)+c_3-\frac {1}{36 x}\right \}\right \}\]

Maple : cpu = 0.043 (sec), leaf count = 34

\[ \left \{ y \left ( x \right ) ={\frac {18\,{x}^{3}{\it \_C1}\,\ln \left ( x \right ) -1+ \left ( -9\,{\it \_C1}+18\,{\it \_C2} \right ) {x}^{3}+36\,{\it \_C3}\,x}{36\,x}} \right \} \]