Internal problem ID [6141]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.3 SEPARABLE EQUATIONS. Page
12
Problem number: 1(c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+y \tan \left (x \right )=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 8
dsolve(diff(y(x),x)+y(x)*tan(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \cos \left (x \right ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 15
DSolve[y'[x]+y[x]*Tan[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \cos (x) \\ y(x)\to 0 \\ \end{align*}