2.1522   ODE No. 1522

\[ 4 x^4 y^{(3)}(x)-4 x^3 y''(x)+4 x^2 y'(x)-1=0 \] Mathematica : cpu = 0.014232 (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 = 0.046 (sec), leaf count = 34


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