29.18.21 problem 497

Internal problem ID [5095]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 18
Problem number : 497
Date solved : Monday, January 27, 2025 at 10:10:42 AM
CAS classification : [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} \left (140+7 x -16 y\right ) y^{\prime }+25+8 x +y&=0 \end{align*}

Solution by Maple

Time used: 1.074 (sec). Leaf size: 1151

dsolve((140+7*x-16*y(x))*diff(y(x),x)+25+8*x+y(x) = 0,y(x), singsol=all)
 
\[ \text {Expression too large to display} \]

Solution by Mathematica

Time used: 60.064 (sec). Leaf size: 1673

DSolve[(140+7 x-16 y[x])D[y[x],x]+25+8 x+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Too large to display