ODE
\[ y'(x)=\cos (x)-y(x) \tan (x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.0289665 (sec), leaf count = 12
\[\left \{\left \{y(x)\to \left (c_1+x\right ) \cos (x)\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 10
\[ \left \{ y \left ( x \right ) = \left ( x+{\it \_C1} \right ) \cos \left ( x \right ) \right \} \] Mathematica raw input
DSolve[y'[x] == Cos[x] - Tan[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (x + C[1])*Cos[x]}}
Maple raw input
dsolve(diff(y(x),x) = cos(x)-y(x)*tan(x), y(x),'implicit')
Maple raw output
y(x) = (x+_C1)*cos(x)