Internal problem ID [2980]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 232.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {\left (x +a \right ) y^{\prime }-b -c y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve((a+x)*diff(y(x),x) = b+c*y(x),y(x), singsol=all)
\[ y \relax (x ) = -\frac {b}{c}+\left (a +x \right )^{c} c_{1} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 30
DSolve[(a+x) y'[x]==(b+c y[x]),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {b}{c}+c_1 (a+x)^c \\ y(x)\to -\frac {b}{c} \\ \end{align*}