73.3.30 problem 4.7 (d)

Internal problem ID [15064]
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)
Date solved : Tuesday, January 28, 2025 at 07:29:16 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\tan \left (y\right ) \end{align*}

✓ Solution by Maple

Time used: 0.036 (sec). Leaf size: 9

dsolve(diff(y(x),x)=tan(y(x)),y(x), singsol=all)
 

\[ y = \arcsin \left ({\mathrm e}^{x} c_{1} \right ) \]

✓ Solution by Mathematica

Time used: 40.464 (sec). Leaf size: 17

DSolve[D[y[x],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*}