Internal problem ID [3293]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 2
Problem number: 29.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+y \tan \left (x \right )=\sec \left (x \right )} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve(diff(y(x),x) = sec(x)-y(x)*tan(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (\tan \left (x \right )+c_{1} \right ) \cos \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 13
DSolve[y'[x]==Sec[x]-y[x]*Tan[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \sin (x)+c_1 \cos (x) \]