Internal problem ID [2134]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential
Equations. page 59
Problem number: Problem 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {2 x y}{1-x^{2}}-4 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 24
dsolve(diff(y(x),x)+2*x/(1-x^2)*y(x)=4*x,y(x), singsol=all)
\[ y \relax (x ) = \left (2 \ln \left (x -1\right )+2 \ln \left (x +1\right )+c_{1}\right ) \left (x^{2}-1\right ) \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 22
DSolve[y'[x]+2*x/(1-x^2)*y[x]==4*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \left (x^2-1\right ) \left (2 \log \left (x^2-1\right )+c_1\right ) \\ \end{align*}