Internal problem ID [3982]
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]
\[ \boxed {\left (x +\cos \left (x \right ) \sec \left (y\right )\right ) y^{\prime }+\tan \left (y\right )-y \sin \left (x \right ) \sec \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.032 (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)
\[ y \left (x \right ) \cos \left (x \right )+x \sin \left (y \left (x \right )\right )+c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.234 (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]
\[ \text {Solve}[x \sin (y(x))+y(x) \cos (x)=c_1,y(x)] \]