13.2.1 problem 1

Internal problem ID [2299]
Book : Differential equations and their applications, 3rd ed., M. Braun
Section : Section 1.2. Page 9
Problem number : 1
Date solved : Monday, January 27, 2025 at 05:44:55 AM
CAS classification : [_separable]

\begin{align*} \cos \left (t \right ) y+y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

dsolve(cos(t)*y(t)+diff(y(t),t) = 0,y(t), singsol=all)
 

\[ y = c_1 \,{\mathrm e}^{-\sin \left (t \right )} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 19

DSolve[Cos[t]*y[t]+D[y[t],t] == 0,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to c_1 e^{-\sin (t)} \\ y(t)\to 0 \\ \end{align*}