Internal problem ID [3196]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 16
Problem number: 450.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _exact, _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {\left (5-2 x -y\right ) y^{\prime }+4-x -2 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.184 (sec). Leaf size: 32
dsolve((5-2*x-y(x))*diff(y(x),x)+4-x-2*y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = 1-\frac {2 c_{1} \left (x -2\right )+\sqrt {3 \left (x -2\right )^{2} c_{1}^{2}+1}}{c_{1}} \]
✓ Solution by Mathematica
Time used: 0.095 (sec). Leaf size: 49
DSolve[(5-2 x-y[x])y'[x]+4-x-2 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -2 x-\sqrt {3 (x-4) x+25+c_1}+5 \\ y(x)\to -2 x+\sqrt {3 (x-4) x+25+c_1}+5 \\ \end{align*}