Internal problem ID [2906]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 6
Problem number: 159.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } x +y \left (b x +a \right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(x*diff(y(x),x)+(b*x+a)*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{-x b} x^{-a} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 24
DSolve[x y'[x]+(a+ b x)y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x^{-a} e^{-b x} \\ y(x)\to 0 \\ \end{align*}