4.263   ODE No. 1263

$$\boxed{{\displaystyle x(x+3)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(3x-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)-(20x+30){(x^2+3x)}^{7/3}=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.047 (sec), leaf count = 52 $$\{y\left(x\right)=1(\mathit{\_}\mathit{C}\mathit{2}+\int \frac{1}{x^2+3x}(\mathit{\_}\mathit{C}\mathit{1}+3{(x^2+3x)}^{7/3}x(x+3)){(x+3)}^{\frac{7}{3}}{x}^{-\frac{4}{3}}\mathrm{d}x)x^{\frac{4}{3}}{(x+3)}^{-\frac{7}{3}}\}$$