Internal problem ID [3474]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 26
Problem number: 739.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {\left (x +\cos \relax (x ) \sec \relax (y)\right ) y^{\prime }+\tan \relax (y)-y \sin \relax (x ) \sec \relax (y)=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve((x+cos(x)*sec(y(x)))*diff(y(x),x)+tan(y(x))-y(x)*sin(x)*sec(y(x)) = 0,y(x), singsol=all)
\[ y \relax (x ) \cos \relax (x )+x \sin \left (y \relax (x )\right )+c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.145 (sec). Leaf size: 17
DSolve[(x+Cos[x] Sec[y[x]])y'[x]+Tan[y[x]]-y[x] Sin[x] Sec[y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}[x \sin (y(x))+y(x) \cos (x)=c_1,y(x)] \]