ODE No. 1271

\[ 4 x^2 y''(x)+y(x)=0 \]

✓ Mathematica : cpu = 0.0070393 (sec), leaf count = 27

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

\[\left \{\left \{y(x)\to c_1 \sqrt {x}+\frac {1}{2} c_2 \sqrt {x} \log (x)\right \}\right \}\]

✓ Maple : cpu = 0.007 (sec), leaf count = 14

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

\[y \left (x \right ) = \sqrt {x}\, \left (\ln \left (x \right ) c_{2} +c_{1} \right )\]