ODE
\[ y'(x)=\sin (2 x)-y(x) \tan (x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.0193996 (sec), leaf count = 15
\[\left \{\left \{y(x)\to \cos (x) \left (c_1-2 \cos (x)\right )\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 13
\[ \left \{ y \left ( x \right ) =\cos \left ( x \right ) \left ( -2\,\cos \left ( x \right ) +{\it \_C1} \right ) \right \} \] Mathematica raw input
DSolve[y'[x] == Sin[2*x] - Tan[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (C[1] - 2*Cos[x])*Cos[x]}}
Maple raw input
dsolve(diff(y(x),x) = sin(2*x)-y(x)*tan(x), y(x),'implicit')
Maple raw output
y(x) = cos(x)*(-2*cos(x)+_C1)