Internal problem ID [7730]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 150.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x^{2}+1\right ) y^{\prime }+2 y x -2 x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve((x^2+1)*diff(y(x),x) + 2*x*y(x) - 2*x^2=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {2 x^{3}}{3}+c_{1}}{x^{2}+1} \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 25
DSolve[(x^2+1)*y'[x] + 2*x*y[x] - 2*x^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2 x^3+3 c_1}{3 x^2+3} \\ \end{align*}