ODE
\[ y'(x)=y(x) \cos (x)+e^{\sin (x)} \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.218173 (sec), leaf count = 14
\[\left \{\left \{y(x)\to (x+c_1) e^{\sin (x)}\right \}\right \}\]
Maple ✓
cpu = 0.009 (sec), leaf count = 11
\[[y \left (x \right ) = \left (x +\textit {\_C1} \right ) {\mathrm e}^{\sin \left (x \right )}]\] Mathematica raw input
DSolve[y'[x] == E^Sin[x] + Cos[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> E^Sin[x]*(x + C[1])}}
Maple raw input
dsolve(diff(y(x),x) = exp(sin(x))+y(x)*cos(x), y(x))
Maple raw output
[y(x) = (x+_C1)*exp(sin(x))]