2.1492   ODE No. 1492

1. Problem in Latex
2. Mathematica input
3. Maple input

$$(4x(n-m)+m(2m-1)+2x^2)y^{\prime }(x)-2n(-2m+2x+1)y(x)-3x(x-m)y^{″}(x)+x^2{y}^{(3)}(x)=0$$ ✓ Mathematica : cpu = 0.39644 (sec), leaf count = 43

$$\left\{\{y(x)\to c_{2}U(-n,m,x)L_n^{m-1}(x)+c_{1}U(-n,m,x{)}^2+c_3{L}_n^{m-1}(x){}^2\}\right\}$$

✓ Maple : cpu = 0.125 (sec), leaf count = 39

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\left(\mathit{M}(-n,m,x)\right)}^2+\mathit{\_}\mathit{C}\mathit{2}{\left(\mathit{U}(-n,m,x)\right)}^2+\mathit{\_}\mathit{C}\mathit{3}\mathit{M}(-n,m,x)\mathit{U}(-n,m,x)\}$$