Internal problem ID [8431]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 94.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +a y=-b \,x^{n}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(x*diff(y(x),x) +a*y(x) + b*x^n=0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {x^{n} b}{a +n}+x^{-a} c_{1} \]
✓ Solution by Mathematica
Time used: 0.061 (sec). Leaf size: 25
DSolve[x*y'[x] +a*y[x] + b*x^n==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {b x^n}{a+n}+c_1 x^{-a} \]