Internal problem ID [2548]
Book: Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section: Chapter 11.3, page 316
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-3 \left (\cos ^{2}\relax (y)\right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.008 (sec). Leaf size: 12
dsolve(diff(y(x),x)=3*cos(y(x))^2,y(x), singsol=all)
\[ y \relax (x ) = \arctan \left (3 x +3 c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.366 (sec). Leaf size: 32
DSolve[y'[x]==3*Cos[y[x]]^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {ArcTan}(3 x+2 c_1) \\ y(x)\to -\frac {\pi }{2} \\ y(x)\to \frac {\pi }{2} \\ \end{align*}