Internal problem ID [11153]
Book: An elementary treatise on differential equations by Abraham Cohen. DC heath publishers.
1906
Section: Chapter 2, differential equations of the first order and the first degree. Article 13. Linear
equations of first order. Page 19
Problem number: Ex 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\cot \left (x \right ) y=\sec \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)+y(x)*cot(x)=sec(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\ln \left (\cos \left (x \right )\right )+c_{1}}{\sin \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.081 (sec). Leaf size: 16
DSolve[y'[x]+y[x]*Cot[x]==Sec[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \csc (x) (-\log (\cos (x))+c_1) \]