ODE
\[ y'''(x)=y'(x) \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.0168271 (sec), leaf count = 23
\[\left \{\left \{y(x)\to c_1 e^x-c_2 e^{-x}+c_3\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 16
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,{{\rm e}^{x}}+{\it \_C3}\,{{\rm e}^{-x}} \right \} \] 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),'implicit')
Maple raw output
y(x) = _C1+_C2*exp(x)+_C3*exp(-x)