50.8.4 problem 1(d)

Internal problem ID [7920]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Problems for Review and Discovery. Page 53
Problem number : 1(d)
Date solved : Monday, January 27, 2025 at 03:32:19 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 9

dsolve(sec(x)*diff(y(x),x)=sec(y(x)),y(x), singsol=all)
 

\[ y = \arcsin \left (\sin \left (x \right )+c_{1} \right ) \]

✓ Solution by Mathematica

Time used: 0.422 (sec). Leaf size: 11

DSolve[Sec[x]*D[y[x],x]==Sec[y[x]],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \arcsin (\sin (x)+c_1) \]