50.2.8 problem 1(h)

Internal problem ID [7814]
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)
Date solved : Monday, January 27, 2025 at 03:23:54 PM
CAS classification : [_separable]

\begin{align*} y^{\prime }-\tan \left (x \right ) y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 8

dsolve(diff(y(x),x)-y(x)*tan(x)=0,y(x), singsol=all)
 

\[ y = \sec \left (x \right ) c_{1} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 15

DSolve[D[y[x],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*}