Internal problem ID [5796]
Book: A course in Ordinary Differential Equations. by Stephen A. Wirkus, Randall J. Swift. CRC
Press NY. 2015. 2nd Edition
Section: Chapter 8. Series Methods. section 8.2. The Power Series Method. Problems Page
603
Problem number: 3. direct method.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-y-x \,{\mathrm e}^{y}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}
✗ Solution by Maple
dsolve([diff(y(x),x)=y(x)+x*exp(y(x)),y(0) = 0],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[x]==y[x]+x*Exp[y[x]],{y[0]==0}},y[x],x,IncludeSingularSolutions -> True]
Not solved