ODE
\[ y'(x)=y(x) \cos (x)+e^{\sin (x)} \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.025223 (sec), leaf count = 14
\[\left \{\left \{y(x)\to \left (c_1+x\right ) e^{\sin (x)}\right \}\right \}\]
Maple ✓
cpu = 0.005 (sec), leaf count = 11
\[ \left \{ y \left ( x \right ) = \left ( x+{\it \_C1} \right ) {{\rm e}^{\sin \left ( x \right ) }} \right \} \] 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),'implicit')
Maple raw output
y(x) = (x+_C1)*exp(sin(x))