Internal problem ID [3520]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 9
Problem number: 264.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, _Riccati]
\[ \boxed {x^{2} y^{\prime }+x y \left (4+y x \right )=-2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(x^2*diff(y(x),x)+2+x*y(x)*(4+x*y(x)) = 0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {2 c_{1} -x}{x \left (c_{1} -x \right )} \]
✓ Solution by Mathematica
Time used: 0.16 (sec). Leaf size: 26
DSolve[x^2 y'[x]+2 + x y[x](4+x y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {2}{x}+\frac {1}{x+c_1} y(x)\to -\frac {2}{x} \end{align*}