Internal problem ID [3235]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 489.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {\left (6+3 x +5 y\right ) y^{\prime }-2-x -7 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.281 (sec). Leaf size: 32
dsolve((6+3*x+5*y(x))*diff(y(x),x) = 2+x+7*y(x),y(x), singsol=all)
\[ y \relax (x ) = -\RootOf \left (\left (x +2\right )^{3} c_{1} \textit {\_Z}^{12}-5 \textit {\_Z}^{3}+6\right )^{3} \left (x +2\right )+x +2 \]
✓ Solution by Mathematica
Time used: 60.148 (sec). Leaf size: 4977
DSolve[(6+3 x+5 y[x])y'[x]==2 + x+7 y[x],y[x],x,IncludeSingularSolutions -> True]
Too large to display