14.4.11 problem 11

Internal problem ID [2529]
Book : Differential equations and their applications, 4th ed., M. Braun
Section : Chapter 1. First order differential equations. Section 1.10. Existence-uniqueness theorem. Excercises page 80
Problem number : 11
Date solved : Monday, January 27, 2025 at 05:59:11 AM
CAS classification : [_Abel]

\begin{align*} y^{\prime }&=y^{3}+{\mathrm e}^{-5 t} \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&={\frac {2}{5}} \end{align*}

✗ Solution by Maple

dsolve([diff(y(t),t)=y(t)^3+exp(-5*t),y(0) = 2/5],y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{D[y[t],t]==y[t]^3+Exp[5*t],{y[0]==4/10}},y[t],t,IncludeSingularSolutions -> True]
 

Not solved