Internal problem ID [3379]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 5
Problem number: 121.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\cos \left (x \right ) \sec \left (y\right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 22
dsolve(diff(y(x),x) = cos(x)*sec(y(x))^2,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\operatorname {RootOf}\left (-\textit {\_Z} +4 c_{1} +4 \sin \left (x \right )-\sin \left (\textit {\_Z} \right )\right )}{2} \]
✓ Solution by Mathematica
Time used: 0.326 (sec). Leaf size: 32
DSolve[y'[x]==Cos[x] Sec[y[x]]^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \text {InverseFunction}\left [2 \left (\frac {\text {$\#$1}}{2}+\frac {1}{4} \sin (2 \text {$\#$1})\right )\&\right ][2 \sin (x)+c_1] \]