Internal problem ID [3773]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 19
Problem number: 521.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x \left (y+2\right ) y^{\prime }=-a x} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 39
dsolve(x*(2+y(x))*diff(y(x),x)+a*x = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) &= -2-\sqrt {4+\left (-2 x -2 c_{1} \right ) a} \\ y \left (x \right ) &= -2+\sqrt {4+\left (-2 x -2 c_{1} \right ) a} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.161 (sec). Leaf size: 50
DSolve[x(2+y[x])y'[x]+a x==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -2-\sqrt {2} \sqrt {-a x+2+c_1} \\ y(x)\to -2+\sqrt {2} \sqrt {-a x+2+c_1} \\ \end{align*}