Internal problem ID [1649]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.2. Page 9
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y \cos \left (t \right )+y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(cos(t)*y(t)+diff(y(t),t) = 0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{-\sin \left (t \right )} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 19
DSolve[Cos[t]*y[t]+y'[t] == 0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to c_1 e^{-\sin (t)} y(t)\to 0 \end{align*}