Internal problem ID [3743]
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`]]
\[ \boxed {\left (6+3 x +5 y\right ) y^{\prime }-7 y=x +2} \]
✓ Solution by Maple
Time used: 1.61 (sec). Leaf size: 46
dsolve((6+3*x+5*y(x))*diff(y(x),x) = 2+x+7*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (-2-x \right ) {\operatorname {RootOf}\left (6+\left (c_{1} x^{3}+6 c_{1} x^{2}+12 c_{1} x +8 c_{1} \right ) \textit {\_Z}^{12}-5 \textit {\_Z}^{3}\right )}^{3}+2+x \]
✓ Solution by Mathematica
Time used: 60.159 (sec). Leaf size: 4977
DSolve[(6+3 x+5 y[x])y'[x]==2 + x+7 y[x],y[x],x,IncludeSingularSolutions -> True]
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