ODE No. 1202

\[ x^2 y''(x)-2 (x+1) x y'(x)+2 (x+1) y(x)=0 \]

✓ Mathematica : cpu = 0.0087684 (sec), leaf count = 22

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

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

✓ Maple : cpu = 0.034 (sec), leaf count = 14

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

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