Internal problem ID [3198]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 16
Problem number: 452.
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 (2-3 x +y\right ) y^{\prime }+5-2 x -3 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.118 (sec). Leaf size: 32
dsolve((2-3*x+y(x))*diff(y(x),x)+5-2*x-3*y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = 1-\frac {-3 c_{1} \left (x -1\right )+\sqrt {11 \left (x -1\right )^{2} c_{1}^{2}+1}}{c_{1}} \]
✓ Solution by Mathematica
Time used: 0.091 (sec). Leaf size: 59
DSolve[(2-3 x+y[x])y'[x]+5-2 x-3 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3 x-i \sqrt {-11 (x-2) x-4-c_1}-2 \\ y(x)\to 3 x+i \sqrt {-11 (x-2) x-4-c_1}-2 \\ \end{align*}