Internal problem ID [12378]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.3, page 71
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y \left (2 x -1\right )+x \left (x +1\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(y(x)*(2*x-1)+x*(x+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} x}{\left (x +1\right )^{3}} \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 19
DSolve[y[x]*(2*x-1)+x*(x+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1 x}{(x+1)^3} y(x)\to 0 \end{align*}