73.7.21 problem 21

Internal problem ID [15179]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 21
Date solved : Tuesday, January 28, 2025 at 07:40:15 AM
CAS classification : [_quadrature]

\begin{align*} \sin \left (x \right )+2 y^{\prime } \cos \left (x \right )&=0 \end{align*}

✓ Solution by Maple

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

dsolve(sin(x)+2*cos(x)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = \frac {\ln \left (\cos \left (x \right )\right )}{2}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 15

DSolve[Sin[x]+2*Cos[x]*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{2} \log (\cos (x))+c_1 \]