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 = 0.0149679 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {c_1 x^2}{2}-\frac {c_2 x^2}{4}+\frac {1}{2} c_2 x^2 \log (x)-\frac {1}{36 x}+c_3\right \}\right \}\] Maple : cpu = 0.06 (sec), leaf count = 34

\[\left \{y \left (x \right ) = \frac {18 c_{1} x^{3} \ln \left (x \right )+\left (-9 c_{1}+18 c_{2}\right ) x^{3}+36 c_{3} x -1}{36 x}\right \}\]