ODE
\[ 4 y'''(x)-3 y'(x)+y(x)=0 \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.158394 (sec), leaf count = 29
\[\left \{\left \{y(x)\to e^{-x} \left (e^{3 x/2} (c_2 x+c_1)+c_3\right )\right \}\right \}\]
Maple ✓
cpu = 0.011 (sec), leaf count = 24
\[\left [y \left (x \right ) = {\mathrm e}^{-x} \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{\frac {x}{2}}+\textit {\_C3} \,{\mathrm e}^{\frac {x}{2}} x\right ]\] Mathematica raw input
DSolve[y[x] - 3*y'[x] + 4*y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (E^((3*x)/2)*(C[1] + x*C[2]) + C[3])/E^x}}
Maple raw input
dsolve(4*diff(diff(diff(y(x),x),x),x)-3*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = exp(-x)*_C1+_C2*exp(1/2*x)+_C3*exp(1/2*x)*x]