ODE No. 1182

\[ x^2 y''(x)-3 x y'(x)+4 y(x)-5 x=0 \]

✓ Mathematica : cpu = 0.0085862 (sec), leaf count = 24

DSolve[-5*x + 4*y[x] - 3*x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to c_1 x^2+2 c_2 x^2 \log (x)+5 x\right \}\right \}\]

✓ Maple : cpu = 0.014 (sec), leaf count = 20

dsolve(x^2*diff(diff(y(x),x),x)-3*x*diff(y(x),x)+4*y(x)-5*x=0,y(x))

\[y \left (x \right ) = x^{2} c_{2} +x^{2} \ln \left (x \right ) c_{1} +5 x\]