Internal problem ID [13328]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.7 (d).
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: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x)=tan(y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (c_{1} {\mathrm e}^{x}\right ) \]
✓ Solution by Mathematica
Time used: 40.257 (sec). Leaf size: 17
DSolve[y'[x]==Tan[y[x]],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \arcsin \left (e^{x+c_1}\right ) \\ y(x)\to 0 \\ \end{align*}