Internal problem ID [2768]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 1
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\cot \relax (x ) y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(diff(y(x),x) = y(x)*cot(x),y(x), singsol=all)
\[ y \relax (x ) = \sin \relax (x ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 15
DSolve[y'[x]==y[x]*Cot[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \sin (x) \\ y(x)\to 0 \\ \end{align*}