4.2 problem 2

Internal problem ID [6183]

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. Section 1.5. Exact Equations. Page 20
Problem number: 2.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [`x=_G(y,y')`]

\[ \boxed {\sin \left (x \right ) \tan \left (y\right )+\cos \left (x \right ) \sec \left (x \right )^{2} y y^{\prime }=-1} \]

✗ Solution by Maple

dsolve((sin(x)*tan(y(x))+1)+(cos(x)*sec(x)^2*y(x))*diff(y(x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[(Sin[x]*Tan[y[x]]+1)+(Cos[x]*Sec[x]^2*y[x])*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved