29.18.13 problem 489

Internal problem ID [5087]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 18
Problem number : 489
Date solved : Monday, January 27, 2025 at 10:08:50 AM
CAS classification : [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} \left (6+3 x +5 y\right ) y^{\prime }&=2+x +7 y \end{align*}

✓ Solution by Maple

Time used: 2.153 (sec). Leaf size: 46

dsolve((6+3*x+5*y(x))*diff(y(x),x) = 2+x+7*y(x),y(x), singsol=all)
 

\[ y \left (x \right ) = \left (-x -2\right ) {\operatorname {RootOf}\left (6+\left (c_{1} x^{3}+6 c_{1} x^{2}+12 c_{1} x +8 c_{1} \right ) \textit {\_Z}^{12}-5 \textit {\_Z}^{3}\right )}^{3}+x +2 \]

✓ Solution by Mathematica

Time used: 60.164 (sec). Leaf size: 4977

DSolve[(6+3 x+5 y[x])D[y[x],x]==2 + x+7 y[x],y[x],x,IncludeSingularSolutions -> True]
 

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