Internal problem ID [3703]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 16
Problem number: 449.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (4+2 x -y\right ) y^{\prime }-2 y=-x -5} \]
✓ Solution by Maple
Time used: 0.734 (sec). Leaf size: 117
dsolve((4+2*x-y(x))*diff(y(x),x)+5+x-2*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\frac {1}{2}+\frac {\left (1-i \sqrt {3}\right ) \left (27 c_{1} \left (x +1\right )+3 \sqrt {3}\, \sqrt {27 c_{1}^{2} \left (x +1\right )^{2}-1}\right )^{\frac {2}{3}}}{6}+\frac {i \sqrt {3}}{2}-\left (3 \sqrt {3}\, \sqrt {27 c_{1}^{2} \left (x +1\right )^{2}-1}+27 c_{1} x +27 c_{1} \right )^{\frac {1}{3}} \left (x -1\right ) c_{1}}{\left (27 c_{1} \left (x +1\right )+3 \sqrt {3}\, \sqrt {27 c_{1}^{2} \left (x +1\right )^{2}-1}\right )^{\frac {1}{3}} c_{1}} \]
✓ Solution by Mathematica
Time used: 60.172 (sec). Leaf size: 1601
DSolve[(4+2 x-y[x])y'[x]+5+x-2 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
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