2.1456   ODE No. 1456

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

$$x^{2c-2}{y}^{\prime }(x)+(c-1)x^{2c-3}y(x)+y^{(3)}(x)=0$$ ✓ Mathematica : cpu = 0.0350123 (sec), leaf count = 183

$$\left\{\{y(x)\to c_1{}_1{F}_2(\frac{1}{2}-\frac{1}{2c};1-\frac{1}{c},1-\frac{1}{2c};-\frac{x^{2c}}{4c^2})+4^{-1/c}{c}_3{c}^{-2/c}{\left(x^{2c}\right)}^{\frac{1}{c}}{}_1{F}_2(\frac{1}{2}+\frac{1}{2c};1+\frac{1}{2c},1+\frac{1}{c};-\frac{x^{2c}}{4c^2})+2^{-1/c}{c}_2{c}^{-1/c}{\left(x^{2c}\right)}^{\frac{1}{2}/c}{}_1{F}_2(\frac{1}{2};1-\frac{1}{2c},1+\frac{1}{2c};-\frac{x^{2c}}{4c^2})\}\right\}$$

✓ Maple : cpu = 0.062 (sec), leaf count = 74

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x{\left({\mathit{J}}_{\frac{1}{2c}}\left(\frac{x^c}{2c}\right)\right)}^2+\mathit{\_}\mathit{C}\mathit{2}x{\left({\mathit{Y}}_{\frac{1}{2c}}\left(\frac{x^c}{2c}\right)\right)}^2+\mathit{\_}\mathit{C}\mathit{3}x{\mathit{J}}_{\frac{1}{2c}}\left(\frac{x^c}{2c}\right){\mathit{Y}}_{\frac{1}{2c}}\left(\frac{x^c}{2c}\right)\}$$