Internal problem ID [2868]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 5
Problem number: 119.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }+\sin \left (2 x \right ) \csc \left (2 y\right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(x),x)+sin(2*x)*csc(2*y(x)) = 0,y(x), singsol=all)
\[ y \relax (x ) = \frac {\arccos \left (-\cos \left (2 x \right )+4 c_{1}\right )}{2} \]
✓ Solution by Mathematica
Time used: 0.499 (sec). Leaf size: 41
DSolve[y'[x]+Sin[2 x]Csc[2 y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{2} \text {ArcCos}(-\cos (2 x)-2 c_1) \\ y(x)\to \frac {1}{2} \text {ArcCos}(-\cos (2 x)-2 c_1) \\ \end{align*}