Internal problem ID [3220]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 17
Problem number: 474.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {\left (\tan \relax (x ) \sec \relax (x )-2 y\right ) y^{\prime }+\sec \relax (x ) \left (1+2 \sin \relax (x ) y\right )=0} \end {gather*}
✗ Solution by Maple
dsolve((tan(x)*sec(x)-2*y(x))*diff(y(x),x)+sec(x)*(1+2*y(x)*sin(x)) = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(Tan[x] Sec[x]-2 y[x])y'[x]+Sec[x](1+2 y[x] Sin[x])==0,y[x],x,IncludeSingularSolutions -> True]
Not solved