ODE
\[ y'''(x)-3 y''(x)+4 y(x)=0 \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.00973078 (sec), leaf count = 27
\[\left \{\left \{y(x)\to e^{-x} \left (e^{3 x} \left (c_3 x+c_2\right )+c_1\right )\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) = \left ( {\it \_C3}\,x+{\it \_C2} \right ) {{\rm e}^{2\,x}}+{\it \_C1}\,{{\rm e}^{-x}} \right \} \] Mathematica raw input
DSolve[4*y[x] - 3*y''[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + E^(3*x)*(C[2] + x*C[3]))/E^x}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)-3*diff(diff(y(x),x),x)+4*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = (_C3*x+_C2)*exp(2*x)+_C1*exp(-x)