ODE No. 1050

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

✓ Mathematica : cpu = 0.007817 (sec), leaf count = 23

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

\[\left \{\left \{y(x)\to c_1 e^{x^2}+c_2 e^{x^2} x\right \}\right \}\]

✓ Maple : cpu = 0.029 (sec), leaf count = 14

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

\[y \left (x \right ) = {\mathrm e}^{x^{2}} \left (c_{2} x +c_{1} \right )\]