ODE
\[ y'''(x)=y'(x) \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.161 (sec), leaf count = 23
\[\left \{\left \{y(x)\to c_1 e^x-c_2 e^{-x}+c_3\right \}\right \}\]
Maple ✓
cpu = 0.014 (sec), leaf count = 16
\[[y \left (x \right ) = \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{-x}+\textit {\_C3} \,{\mathrm e}^{x}]\] Mathematica raw input
DSolve[y'''[x] == y'[x],y[x],x]
Mathematica raw output
{{y[x] -> E^x*C[1] - C[2]/E^x + C[3]}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x) = diff(y(x),x), y(x))
Maple raw output
[y(x) = _C1+_C2*exp(-x)+_C3*exp(x)]