Internal problem ID [13033]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Review Exercises for chapter 1. page
136
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-\sin \left (y\right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(diff(y(t),t)=sin(y(t))^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {\pi }{2}+\arctan \left (t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.319 (sec). Leaf size: 19
DSolve[y'[t]==Sin[y[t]]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\cot ^{-1}(t-2 c_1) \\ y(t)\to 0 \\ \end{align*}