ODE
\[ y'''(x)=\sin ^3(x) \] ODE Classification
[[_3rd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.170199 (sec), leaf count = 32
\[\left \{\left \{y(x)\to c_3 x^2+\frac {3 \cos (x)}{4}-\frac {1}{108} \cos (3 x)+c_2 x+c_1\right \}\right \}\]
Maple ✓
cpu = 0.596 (sec), leaf count = 25
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1}}{2}+\textit {\_C2} x +\textit {\_C3} +\frac {3 \cos \left (x \right )}{4}-\frac {\cos \left (3 x \right )}{108}\right ]\] Mathematica raw input
DSolve[y'''[x] == Sin[x]^3,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + x*C[2] + x^2*C[3] + (3*Cos[x])/4 - Cos[3*x]/108}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x) = sin(x)^3, y(x))
Maple raw output
[y(x) = 1/2*x^2*_C1+_C2*x+_C3+3/4*cos(x)-1/108*cos(3*x)]