Internal problem ID [1707]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.10. Page 80
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{-t}-\ln \left (1+y^{2}\right )=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}
✗ Solution by Maple
dsolve([diff(y(t),t)=exp(-t)+ln(1+y(t)^2),y(0) = 0],y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[t]==Exp[-t]+Log[1+y[t]^2],y[0]==0},y[t],t,IncludeSingularSolutions -> True]
Not solved