Internal problem ID [3721]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 17
Problem number: 467.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (x +2 y+1\right ) y^{\prime }-4 y=-x -7} \]
✓ Solution by Maple
Time used: 0.172 (sec). Leaf size: 198
dsolve((1+x+2*y(x))*diff(y(x),x)+7+x-4*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {4 \left (\left (\frac {i \sqrt {3}}{48}-\frac {1}{48}\right ) \left (12 \sqrt {3}\, c_{1}^{2} \left (x +3\right ) \sqrt {\frac {27 \left (x +3\right )^{2} c_{1} -32 x -96}{c_{1}}}+512+108 \left (x +3\right )^{2} c_{1}^{2}+\left (-576 x -1728\right ) c_{1} \right )^{\frac {2}{3}}+\left (\frac {1}{3}+\left (-\frac {x}{4}-1\right ) c_{1} \right ) \left (12 \sqrt {3}\, c_{1}^{2} \left (x +3\right ) \sqrt {\frac {27 \left (x +3\right )^{2} c_{1} -32 x -96}{c_{1}}}+512+108 \left (x +3\right )^{2} c_{1}^{2}+\left (-576 x -1728\right ) c_{1} \right )^{\frac {1}{3}}+\left (1+i \sqrt {3}\right ) \left (-\frac {4}{3}+\left (x +3\right ) c_{1} \right )\right )}{\left (12 \sqrt {3}\, c_{1}^{2} \left (x +3\right ) \sqrt {\frac {27 \left (x +3\right )^{2} c_{1} -32 x -96}{c_{1}}}+512+108 \left (x +3\right )^{2} c_{1}^{2}+\left (-576 x -1728\right ) c_{1} \right )^{\frac {1}{3}} c_{1}} \]
✓ Solution by Mathematica
Time used: 60.098 (sec). Leaf size: 2617
DSolve[(1+x+2 y[x])y'[x]+7+x-4 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
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