Internal problem ID [2497]
Book: Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section: Exercises, page 14
Problem number: 1(e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {{\mathrm e}^{2 y}+\left (x +1\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(exp(2*y(x))+(1+x)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = -\frac {\ln \left (2 \ln \left (x +1\right )+2 c_{1}\right )}{2} \]
✓ Solution by Mathematica
Time used: 0.361 (sec). Leaf size: 21
DSolve[Exp[2*y[x]]+(1+x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{2} \log (2 (\log (x+1)-c_1)) \\ \end{align*}