Internal problem ID [8489]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 153.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x^{2}-1\right ) y^{\prime }-y x=-a} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve((x^2-1)*diff(y(x),x) - x*y(x) + a=0,y(x), singsol=all)
\[ y \left (x \right ) = \sqrt {x -1}\, \sqrt {x +1}\, c_{1} +a x \]
✓ Solution by Mathematica
Time used: 0.074 (sec). Leaf size: 21
DSolve[(x^2-1)*y'[x] - x*y[x] + a==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to a x+c_1 \sqrt {x^2-1} \]