Internal problem ID [12565]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.2. page
33
Problem number: 24.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-\sec \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 8
dsolve(diff(y(x),x)=sec(y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (x +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.35 (sec). Leaf size: 10
DSolve[y'[x]==Sec[y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \arcsin (x+c_1) \]