Internal problem ID [12973]
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: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-\tan \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 9
dsolve(diff(y(t),t)=tan( y(t)),y(t), singsol=all)
\[ y \left (t \right ) = \arcsin \left (c_{1} {\mathrm e}^{t}\right ) \]
✓ Solution by Mathematica
Time used: 50.012 (sec). Leaf size: 17
DSolve[y'[t]==Tan[y[t]],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \arcsin \left (e^{t+c_1}\right ) \\ y(t)\to 0 \\ \end{align*}