Internal problem ID [12967]
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: 4 and 16(iv).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {w^{\prime }-w \cos \left (w\right )=0} \] With initial conditions \begin {align*} [w \left (0\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.109 (sec). Leaf size: 19
dsolve([diff(w(t),t)=w(t)*cos( w(t)),w(0) = -1],w(t), singsol=all)
\[ w \left (t \right ) = \operatorname {RootOf}\left (\int _{\textit {\_Z}}^{-1}\frac {\sec \left (\textit {\_a} \right )}{\textit {\_a}}d \textit {\_a} +t \right ) \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{w'[t]==w[t]*Cos[ w[t]],{w[0]==-1}},w[t],t,IncludeSingularSolutions -> True]
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