49.1.4 problem 2 (a)

Internal problem ID [7583]
Book : An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY 1961
Section : Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number : 2 (a)
Date solved : Monday, January 27, 2025 at 03:06:37 PM
CAS classification : [_separable]

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

✓ Solution by Maple

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

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

\[ y = c_{1} {\mathrm e}^{-\sin \left (x \right )} \]

✓ Solution by Mathematica

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

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

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