Internal problem ID [3751]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 497.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (140+7 x -16 y\right ) y^{\prime }+y=-25-8 x} \]
✓ Solution by Maple
Time used: 0.344 (sec). Leaf size: 334
dsolve((140+7*x-16*y(x))*diff(y(x),x)+25+8*x+y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = 7-\frac {-\left (4+x \right )^{8} \operatorname {RootOf}\left (\left (4+x \right )^{8} c_{1} \textit {\_Z}^{64}+9 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{56}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{48}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{40}-8\right )^{56}-6 \left (4+x \right )^{8} \operatorname {RootOf}\left (\left (4+x \right )^{8} c_{1} \textit {\_Z}^{64}+9 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{56}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{48}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{40}-8\right )^{48}-9 \left (4+x \right )^{8} \operatorname {RootOf}\left (\left (4+x \right )^{8} c_{1} \textit {\_Z}^{64}+9 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{56}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{48}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{40}-8\right )^{40}+\frac {4}{c_{1}}}{\left (4+x \right )^{7} \operatorname {RootOf}\left (\left (4+x \right )^{8} c_{1} \textit {\_Z}^{64}+9 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{56}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{48}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{40}-8\right )^{40} \left (\operatorname {RootOf}\left (\left (4+x \right )^{8} c_{1} \textit {\_Z}^{64}+9 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{56}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{48}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{40}-8\right )^{16}+6 \operatorname {RootOf}\left (\left (4+x \right )^{8} c_{1} \textit {\_Z}^{64}+9 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{56}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{48}+27 \left (4+x \right )^{8} c_{1} \textit {\_Z}^{40}-8\right )^{8}+9\right )} \]
✓ Solution by Mathematica
Time used: 60.061 (sec). Leaf size: 1673
DSolve[(140+7 x-16 y[x])y'[x]+25+8 x+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
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