Internal problem ID [5430]
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')]
Solve \begin {gather*} \boxed {\sin \relax (x ) \tan \relax (y)+1+\cos \relax (x ) \left (\sec ^{2}\relax (x )\right ) y y^{\prime }=0} \end {gather*}
✗ 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