2.1497   ODE No. 1497

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

$$-3x(p+q)y^{″}(x)+3p(3q+1)y^{\prime }(x)+x^2{y}^{(3)}(x)+x^2(-y(x))=0$$ ✓ Mathematica : cpu = 0.45963 (sec), leaf count = 135

$$\left\{\{y(x)\to c_1{}_0{F}_2(;\frac{2}{3}-p,\frac{1}{3}-q;\frac{x^3}{27})+c_2(-1{)}^{\frac{1}{3}(3p+1)}{3}^{-3p-1}{x}^{3p+1}{}_0{F}_2(;p+\frac{4}{3},p-q+\frac{2}{3};\frac{x^3}{27})+c_3(-1{)}^{\frac{1}{3}(3q+2)}{3}^{-3q-2}{x}^{3q+2}{}_0{F}_2(;q+\frac{5}{3},-p+q+\frac{4}{3};\frac{x^3}{27})\}\right\}$$

✓ Maple : cpu = 0.254 (sec), leaf count = 77

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{}_0\text{F}{}_2(;-p+\frac{2}{3},-q+\frac{1}{3};\frac{x^3}{27})+\mathit{\_}\mathit{C}\mathit{2}{x}^{1+3p}{}_0\text{F}{}_2(;p+\frac{4}{3},\frac{2}{3}-q+p;\frac{x^3}{27})+\mathit{\_}\mathit{C}\mathit{3}{x}^{3q+2}{}_0\text{F}{}_2(;q+\frac{5}{3},\frac{4}{3}+q-p;\frac{x^3}{27})\}$$