ODE No. 1288

\[ 16 x^2 y''(x)+(4 x+3) y(x)=0 \]

✓ Mathematica : cpu = 0.0225784 (sec), leaf count = 47

DSolve[(3 + 4*x)*y[x] + 16*x^2*Derivative[2][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to c_1 e^{i \sqrt {x}} \sqrt [4]{x}+i c_2 e^{-i \sqrt {x}} \sqrt [4]{x}\right \}\right \}\]

✓ Maple : cpu = 0.033 (sec), leaf count = 21

dsolve(16*x^2*diff(diff(y(x),x),x)+(4*x+3)*y(x)=0,y(x))

\[y \left (x \right ) = x^{{1}/{4}} \left (\cos \left (\sqrt {x}\right ) c_{2} +\sin \left (\sqrt {x}\right ) c_{1} \right )\]