ODE
\[ y'(x)=\sec (x)-y(x) \tan (x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.163469 (sec), leaf count = 13
\[\{\{y(x)\to \sin (x)+c_1 \cos (x)\}\}\]
Maple ✓
cpu = 0.032 (sec), leaf count = 11
\[[y \left (x \right ) = \left (\tan \left (x \right )+\textit {\_C1} \right ) \cos \left (x \right )]\] Mathematica raw input
DSolve[y'[x] == Sec[x] - Tan[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> C[1]*Cos[x] + Sin[x]}}
Maple raw input
dsolve(diff(y(x),x) = sec(x)-y(x)*tan(x), y(x))
Maple raw output
[y(x) = (tan(x)+_C1)*cos(x)]