Internal problem ID [6252]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } \sec \left (x \right )-\sec \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 9
dsolve(sec(x)*diff(y(x),x)=sec(y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (\sin \left (x \right )+c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.335 (sec). Leaf size: 11
DSolve[Sec[x]*y'[x]==Sec[y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \arcsin (\sin (x)+c_1) \]