4.42.45 \(y'''(x)+y'(x)=0\)

ODE
\[ y'''(x)+y'(x)=0 \] ODE Classification

[[_3rd_order, _missing_x]]

Book solution method
TO DO

Mathematica
cpu = 0.153248 (sec), leaf count = 19

\[\{\{y(x)\to -c_2 \cos (x)+c_1 \sin (x)+c_3\}\}\]

Maple
cpu = 0.01 (sec), leaf count = 14

\[[y \left (x \right ) = \textit {\_C1} +\textit {\_C2} \sin \left (x \right )+\textit {\_C3} \cos \left (x \right )]\] Mathematica raw input

DSolve[y'[x] + y'''[x] == 0,y[x],x]

Mathematica raw output

{{y[x] -> C[3] - C[2]*Cos[x] + C[1]*Sin[x]}}

Maple raw input

dsolve(diff(diff(diff(y(x),x),x),x)+diff(y(x),x) = 0, y(x))

Maple raw output

[y(x) = _C1+_C2*sin(x)+_C3*cos(x)]