Internal problem ID [3371]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 4
Problem number: 113.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+\tan \left (x \right ) \sec \left (x \right ) \cos \left (y\right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve(diff(y(x),x)+tan(x)*sec(x)*cos(y(x))^2 = 0,y(x), singsol=all)
\[ y \left (x \right ) = -\arctan \left (\sec \left (x \right )+c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 1.593 (sec). Leaf size: 31
DSolve[y'[x]+Tan[x] Sec[x] Cos[y[x]]^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \arctan (-\sec (x)+c_1) y(x)\to -\frac {\pi }{2} y(x)\to \frac {\pi }{2} \end{align*}