Internal problem ID [5499]
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]
Solve \begin {gather*} \boxed {\sec \relax (x ) y^{\prime }-\sec \relax (y)=0} \end {gather*}
✓ Solution by Maple
Time used: 0.004 (sec). Leaf size: 9
dsolve(sec(x)*diff(y(x),x)=sec(y(x)),y(x), singsol=all)
\[ y \relax (x ) = \arcsin \left (\sin \relax (x )+c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.227 (sec). Leaf size: 11
DSolve[Sec[x]*y'[x]==Sec[y[x]],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {ArcSin}(\sin (x)+c_1) \\ \end{align*}