ODE
\[ y'(x)=y(x) \tan (x)+\sin (2 x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.192933 (sec), leaf count = 19
\[\left \{\left \{y(x)\to -\frac {2 \cos ^2(x)}{3}+c_1 \sec (x)\right \}\right \}\]
Maple ✓
cpu = 0.025 (sec), leaf count = 21
\[\left [y \left (x \right ) = \frac {-\frac {\cos \left (x \right )}{2}-\frac {\cos \left (3 x \right )}{6}+\textit {\_C1}}{\cos \left (x \right )}\right ]\] Mathematica raw input
DSolve[y'[x] == Sin[2*x] + Tan[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (-2*Cos[x]^2)/3 + C[1]*Sec[x]}}
Maple raw input
dsolve(diff(y(x),x) = sin(2*x)+y(x)*tan(x), y(x))
Maple raw output
[y(x) = (-1/2*cos(x)-1/6*cos(3*x)+_C1)/cos(x)]