Internal problem ID [2562]
Book: Differential equations and linear algebra, Stephen W. Goode, second edition,
2000
Section: 1.6, page 50
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {2 y x}{x^{2}+1}=4 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)+2*x/(1+x^2)*y(x)=4*x,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}+1+\frac {c_{1}}{x^{2}+1} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 24
DSolve[y'[x]+2*x/(1+x^2)*y[x]==4*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^4+2 x^2+c_1}{x^2+1} \]