Internal problem ID [1706]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.10. Page 80
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-\left (4 y+{\mathrm e}^{-t^{2}}\right ) {\mathrm e}^{2 y}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(t),t)=(4*y(t)+exp(-t^2))*exp(2*y(t)),y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[t]==(4*y[t]+Exp[-t^2])*Exp[2*y[t]],y[t],t,IncludeSingularSolutions -> True]
Not solved