ODE
\[ y'(x)=\cos (x)-y(x) (\sin (x)-y(x)) \] ODE Classification
[_Riccati]
Book solution method
Riccati ODE, Generalized ODE
Mathematica ✓
cpu = 0.528134 (sec), leaf count = 7
\[\{\{y(x)\to \sin (x)\}\}\]
Maple ✓
cpu = 0.191 (sec), leaf count = 25
\[\left [y \left (x \right ) = -\frac {{\mathrm e}^{-\cos \left (x \right )}}{\textit {\_C1} +\int {\mathrm e}^{-\cos \left (x \right )}d x}+\sin \left (x \right )\right ]\] Mathematica raw input
DSolve[y'[x] == Cos[x] - (Sin[x] - y[x])*y[x],y[x],x]
Mathematica raw output
{{y[x] -> Sin[x]}}
Maple raw input
dsolve(diff(y(x),x) = cos(x)-(sin(x)-y(x))*y(x), y(x))
Maple raw output
[y(x) = -1/(_C1+Int(exp(-cos(x)),x))*exp(-cos(x))+sin(x)]