14.1.1 problem 1

Internal problem ID [2472]
Book : Differential equations and their applications, 4th ed., M. Braun
Section : Chapter 1. First order differential equations. Section 1.2. Linear equations. Excercises page 9
Problem number : 1
Date solved : Monday, January 27, 2025 at 05:53:34 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 19

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

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