Internal problem ID [4173]
Book: A treatise on ordinary and partial differential equations by William Woolsey Johnson.
1913
Section: Chapter 1, Nature and meaning of a differential equation between two variables. page
12
Problem number: 1.
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: 0.016 (sec). Leaf size: 8
dsolve(diff(y(x),x)+y(x)*tan(x)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} \cos \relax (x ) \]
✓ Solution by Mathematica
Time used: 0.064 (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*}