5.5 problem 8

Internal problem ID [1701]

Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.10. Page 80
Problem number: 8.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Riccati]

Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{-t^{2}}-y^{2}=0} \end {gather*}

Solution by Maple

dsolve(diff(y(t),t)= exp(-t^2)+y(t)^2,y(t), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

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

DSolve[y'[t]== Exp[-t^2]+y[t]^2,y[t],t,IncludeSingularSolutions -> True]
 

Not solved