Internal problem ID [3027]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 279.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (1-x^{2}\right ) y^{\prime }-5+y x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 20
dsolve((-x^2+1)*diff(y(x),x) = 5-x*y(x),y(x), singsol=all)
\[ y \relax (x ) = \sqrt {x -1}\, \sqrt {x +1}\, c_{1}+5 x \]
✓ Solution by Mathematica
Time used: 0.071 (sec). Leaf size: 21
DSolve[(1-x^2)y'[x]==5 -x y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 5 x+c_1 \sqrt {x^2-1} \\ \end{align*}