Internal problem ID [1698]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.10. Page 80
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Riccati]
Solve \begin {gather*} \boxed {y^{\prime }-1-y-y^{2} \cos \relax (t )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 1990
dsolve(diff(y(t),t)= 1+y(t)+y(t)^2*cos(t),y(t), singsol=all)
\[ \text {Expression too large to display} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[t]== 1+y[t]+y[t]^2*Cos[t],y[t],t,IncludeSingularSolutions -> True]
Not solved