5.36   ODE No. 1484

$$\boxed{{\displaystyle 2x\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+3(2ax+k)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+6(ak+bx)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(3bk+2cx)y\left(x\right)=0}}$$

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

Mathematica: cpu = 63.307539 (sec), leaf count = 80 $$\text{left {left {y(x)to text {DifferentialRoot}left ({unicode {f818},unicode {f817}}unicode {f4a1}left {(2 unicode {f817} c+3 b k) unicode {f818}(unicode {f817})+(6 unicode {f817} b+6 a k) unicode {f818}'(unicode {f817})+(6 unicode {f817} a+3 k) unicode {f818}''(unicode {f817})+2 unicode {f817} unicode {f818}^{(3)}(unicode {f817})=0,unicode {f818}(1)=c\_1,unicode {f818}'(1)=c\_2,unicode {f818}''(1)=c\_3right }right )(x)right }right }}$$

Maple: cpu = 0.296 (sec), leaf count = 62 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{(3bk+2cx)\mathit{\_}\mathit{Y}\left(x\right)+(6ak+6bx)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+(6ax+3k)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+2x\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$