ODE No. 1522

\[ 4 x^4 y^{(3)}(x)-4 x^3 y''(x)+4 x^2 y'(x)-1=0 \]

✓ Mathematica : cpu = 0.0186541 (sec), leaf count = 44

DSolve[-1 + 4*x^2*Derivative[1][y][x] - 4*x^3*Derivative[2][y][x] + 4*x^4*Derivative[3][y][x] == 0,y[x],x]

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

✓ Maple : cpu = 0.056 (sec), leaf count = 34

dsolve(4*x^4*diff(diff(diff(y(x),x),x),x)-4*x^3*diff(diff(y(x),x),x)+4*x^2*diff(y(x),x)-1=0,y(x))

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