2.1590   ODE No. 1590

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

$$(x-a{)}^5(x-b{)}^5{y}^{(5)}(x)-cy(x)=0$$ ✗ Mathematica : cpu = 299.998 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 3.219 (sec), leaf count = 1258

$$\{y\left(x\right)=\mathit{O}\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}\mathit{S}\mathit{t}\mathit{r}\mathit{u}\mathit{c}({\mathrm{e}}^{\int \frac{{\left({\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}\right)}^2\mathit{\_}\mathit{f}+4{\left({\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}\right)}^{2}b-2{\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int 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\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}-1)}^2})\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{2}},[\{(-{\mathit{\_}\mathit{f}}^5-10{\mathit{\_}\mathit{f}}^{4}a-10{\mathit{\_}\mathit{f}}^{4}b-35{\mathit{\_}\mathit{f}}^3{a}^2-90{\mathit{\_}\mathit{f}}^{3}ab-35{\mathit{\_}\mathit{f}}^3{b}^2-50{\mathit{\_}\mathit{f}}^2{a}^3-270{\mathit{\_}\mathit{f}}^2{a}^{2}b-270{\mathit{\_}\mathit{f}}^{2}a{b}^2-50{\mathit{\_}\mathit{f}}^2{b}^3-24\mathit{\_}\mathit{f}{a}^4-304\mathit{\_}\mathit{f}{a}^{3}b-624\mathit{\_}\mathit{f}{a}^2{b}^2-304\mathit{\_}\mathit{f}a{b}^3-24\mathit{\_}\mathit{f}{b}^4-96a^{4}b-416a^3{b}^2-416a^2{b}^3-96a{b}^4+c){\left(\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^5+(-10{\mathit{\_}\mathit{f}}^3-60{\mathit{\_}\mathit{f}}^{2}a-60{\mathit{\_}\mathit{f}}^{2}b-105\mathit{\_}\mathit{f}{a}^2-270\mathit{\_}\mathit{f}ab-105\mathit{\_}\mathit{f}{b}^2-50a^3-270a^{2}b-270a{b}^2-50b^3){\left(\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^4+(-15\mathit{\_}\mathit{f}-30a-30b){\left(\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^3+(10\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right){\mathit{\_}\mathit{f}}^2+40\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)\mathit{\_}\mathit{f}a+40\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)\mathit{\_}\mathit{f}b+35\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)a^2+90\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)ab+35\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)b^2){\left(\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^2+(5\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{\mathit{\_}\mathit{f}}^2}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)\mathit{\_}\mathit{f}+10\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{\mathit{\_}\mathit{f}}^2}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)a+10\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{\mathit{\_}\mathit{f}}^2}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)b+10\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right))\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)-15{\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^2\mathit{\_}\mathit{f}-30{\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^{2}a-30{\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^{2}b+\frac{{\mathrm{d}}^3}{\mathrm{d}{\mathit{\_}\mathit{f}}^3}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)-10\frac{\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{\mathit{\_}\mathit{f}}^2}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)}{\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)}+15\frac{{\left(\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{f}}\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^3}{{\left(\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\right)}^2}=0\},\{\mathit{\_}\mathit{f}=\frac{x^2\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}-\frac{ax\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}-\frac{bx\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}+\frac{ab\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}-4x,\mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)=-\frac{1}{a-b}({(x-b)}^{-1}-{(x-a)}^{-1}){(x^2(\frac{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)}{y\left(x\right)}-\frac{{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2}{{\left(y\left(x\right)\right)}^2})-x(\frac{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)}{y\left(x\right)}-\frac{{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2}{{\left(y\left(x\right)\right)}^2})a-x(\frac{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)}{y\left(x\right)}-\frac{{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2}{{\left(y\left(x\right)\right)}^2})b+(\frac{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)}{y\left(x\right)}-\frac{{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2}{{\left(y\left(x\right)\right)}^2})ab+2\frac{x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}-\frac{a\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}-\frac{b\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}-4)}^{-1}\},\{x=\frac{b{\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}-a}{{\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}-1},y\left(x\right)={\mathrm{e}}^{\int \frac{{\left({\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}\right)}^2\mathit{\_}\mathit{f}+4{\left({\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}\right)}^{2}b-2{\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}\mathit{\_}\mathit{f}-4a{\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})b}-4b{\mathrm{e}}^{(\int \mathit{\_}\mathit{g}\left(\mathit{\_}\mathit{f}\right)\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})a-(\int 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