\[ \left (\left (1-4 \nu ^2\right ) x+4 x^3\right ) y'(x)+\left (4 \nu ^2-1\right ) y(x)+x^3 y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.0077945 (sec), leaf count = 34
DSolve[(-1 + 4*nu^2)*y[x] + ((1 - 4*nu^2)*x + 4*x^3)*Derivative[1][y][x] + x^3*Derivative[3][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 x J_{\nu }(x){}^2+c_3 x Y_{\nu }(x){}^2+c_2 x J_{\nu }(x) Y_{\nu }(x)\right \}\right \}\] ✓ Maple : cpu = 0.056 (sec), leaf count = 29
dsolve(x^3*diff(diff(diff(y(x),x),x),x)+(4*x^3+(-4*nu^2+1)*x)*diff(y(x),x)+(4*nu^2-1)*y(x)=0,y(x))
\[y \left (x \right ) = x \left (\BesselY \left (\nu , x\right )^{2} c_{2}+\BesselY \left (\nu , x\right ) \BesselJ \left (\nu , x\right ) c_{3}+\BesselJ \left (\nu , x\right )^{2} c_{1}\right )\]