ODE
\[ y'''(x)=\cos (x)+1 \] ODE Classification
[[_3rd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.16494 (sec), leaf count = 29
\[\left \{\left \{y(x)\to \frac {x^3}{6}+c_3 x^2-\sin (x)+c_2 x+c_1\right \}\right \}\]
Maple ✓
cpu = 0.147 (sec), leaf count = 24
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1}}{2}+\frac {x^{3}}{6}-\sin \left (x \right )+\textit {\_C2} x +\textit {\_C3}\right ]\] Mathematica raw input
DSolve[y'''[x] == 1 + Cos[x],y[x],x]
Mathematica raw output
{{y[x] -> x^3/6 + C[1] + x*C[2] + x^2*C[3] - Sin[x]}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x) = 1+cos(x), y(x))
Maple raw output
[y(x) = 1/2*x^2*_C1+1/6*x^3-sin(x)+_C2*x+_C3]