2.1472   ODE No. 1472

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

$$f(x)(x^2{y}^{″}(x)-2x{y}^{\prime }(x)+2y(x))+y^{(3)}(x)=0$$ ✓ Mathematica : cpu = 0.0945188 (sec), leaf count = 88

$$\left\{\{y(x)\to c_{3}x({\int }_1^x\frac{\exp (-{\int }_1^{K[2]}f(K[1])K[1{]}^{2}dK[1])}{K[2{]}^2}dK[2]-x{\int }_1^x\frac{\exp (-{\int }_1^{K[3]}f(K[1])K[1{]}^{2}dK[1])}{K[3{]}^3}dK[3])+c_2{x}^2+c_{1}x\}\right\}$$ ✓ Maple : cpu = 0.397 (sec), leaf count = 33

$$\{y\left(x\right)=(\int \mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}\int {\mathrm{e}}^{-\int x^{2}f\left(x\right)+3x^{-1}\mathrm{d}x}\mathrm{d}x\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{3})x\}$$