5.8 problem 11

Internal problem ID [1704]

Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.10. Page 80
Problem number: 11.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Abel]

Solve \begin {gather*} \boxed {y^{\prime }-y^{3}-{\mathrm e}^{-5 t}=0} \end {gather*}

Solution by Maple

dsolve(diff(y(t),t)= y(t)^3+exp(-5*t),y(t), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y'[t]== y[t]^3+Exp[-5*t],y[t],t,IncludeSingularSolutions -> True]
 

Not solved