Internal problem ID [3542]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 286.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x^{2}+1\right ) y^{\prime }+y x=x \left (x^{2}+1\right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve((x^2+1)*diff(y(x),x) = x*(x^2+1)-x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{2}}{3}+\frac {1}{3}+\frac {c_{1}}{\sqrt {x^{2}+1}} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 27
DSolve[(1+x^2)y'[x]==x(1+x^2)-x y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{3} \left (x^2+1\right )+\frac {c_1}{\sqrt {x^2+1}} \]