Internal problem ID [3266]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 19
Problem number: 522.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_1st_order, _with_symmetry_[F(x)*G(y),0]], [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {\left (2+3 x -y x \right ) y^{\prime }+y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.035 (sec). Leaf size: 29
dsolve((2+3*x-x*y(x))*diff(y(x),x)+y(x) = 0,y(x), singsol=all)
\[ c_{1}+\frac {{\mathrm e}^{y \relax (x )}}{x y \relax (x )^{3}-2 y \relax (x )^{2}-4 y \relax (x )-4} = 0 \]
✓ Solution by Mathematica
Time used: 0.16 (sec). Leaf size: 35
DSolve[(2+3 x-x y[x])y'[x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [x=-\frac {2 \left (-y(x)^2-2 y(x)-2\right )}{y(x)^3}+\frac {c_1 e^{y(x)}}{y(x)^3},y(x)\right ] \]