Internal problem ID [12961]
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. Exercises section 1.6 page 89
Problem number: 3 and 15(iii).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-\cos \left (y\right )=0} \] With initial conditions \begin {align*} \left [y \left (0\right ) = -\frac {\pi }{2}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 7
dsolve([diff(y(t),t)=cos( y(t)),y(0) = -1/2*Pi],y(t), singsol=all)
\[ y \left (t \right ) = -\frac {\pi }{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 10
DSolve[{y'[t]==Cos[ y[t]],{y[0]==-Pi/2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {\pi }{2} \]