29.8.23 problem 228

Internal problem ID [4828]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 8
Problem number : 228
Date solved : Monday, January 27, 2025 at 09:41:45 AM
CAS classification : [_quadrature]

\begin{align*} \left (x +a \right ) y^{\prime }&=b x \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve((a+x)*diff(y(x),x) = b*x,y(x), singsol=all)
 

\[ y \left (x \right ) = -\ln \left (x +a \right ) a b +b x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 19

DSolve[(a+x) D[y[x],x]==b x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -a b \log (a+x)+b x+c_1 \]