13.5.11 problem 14

Internal problem ID [2357]
Book : Differential equations and their applications, 3rd ed., M. Braun
Section : Section 1.10. Page 80
Problem number : 14
Date solved : Monday, January 27, 2025 at 05:49:56 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&={\mathrm e}^{-t}+\ln \left (1+y^{2}\right ) \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=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: 0.000 (sec). Leaf size: 0

DSolve[{D[y[t],t]==Exp[-t]+Log[1+y[t]^2],{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
 

Not solved