Internal problem ID [2758]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 1
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-a -b x -c y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 30
dsolve(diff(y(x),x) = a+b*x+c*y(x),y(x), singsol=all)
\[ y \relax (x ) = -\frac {b x}{c}-\frac {a}{c}-\frac {b}{c^{2}}+{\mathrm e}^{c x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.093 (sec). Leaf size: 28
DSolve[y'[x]==a+b*x+c*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {a c+b c x+b}{c^2}+c_1 e^{c x} \\ \end{align*}