Internal problem ID [3242]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 496.
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 (8+5 x -12 y\right ) y^{\prime }-3-2 x +5 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.516 (sec). Leaf size: 33
dsolve((8+5*x-12*y(x))*diff(y(x),x) = 3+2*x-5*y(x),y(x), singsol=all)
\[ y \relax (x ) = -1-\frac {-\frac {5 \left (4+x \right ) c_{1}}{12}+\frac {\sqrt {\left (4+x \right )^{2} c_{1}^{2}+24}}{12}}{c_{1}} \]
✓ Solution by Mathematica
Time used: 0.121 (sec). Leaf size: 73
DSolve[(8+5 x-12 y[x])y'[x]==3+2 x-5 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{12} \left (5 x-i \sqrt {-x (x+8)-16 (4+9 c_1)}+8\right ) \\ y(x)\to \frac {1}{12} \left (5 x+i \sqrt {-x (x+8)-16 (4+9 c_1)}+8\right ) \\ \end{align*}