Internal problem ID [3110]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 13
Problem number: 362.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x \left (x^{2}+1\right ) y^{\prime }-x +\left (5 x^{2}+3\right ) y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(x*(x^2+1)*diff(y(x),x) = x-(5*x^2+3)*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{4}}{4}+c_{1}}{x^{3} \left (x^{2}+1\right )} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 26
DSolve[x(1+x^2)y'[x]==x-(3+5 x^2)y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^4+4 c_1}{4 \left (x^5+x^3\right )} \\ \end{align*}