Internal problem ID [5393]
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(h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-y \tan \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 10
dsolve(diff(y(x),x)-y(x)*tan(x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1}}{\cos \relax (x )} \]
✓ 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 \sec (x) \\ y(x)\to 0 \\ \end{align*}