Internal problem ID [27]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.4. Separable equations. Page 43
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {2 y x +y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(2*x*y(x)+diff(y(x),x) = 0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{-x^{2}} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 20
DSolve[2*x*y[x]+y'[x] == 0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{-x^2} \\ y(x)\to 0 \\ \end{align*}