ODE
\[ 4 y''(x)-8 y'(x)+3 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.00551528 (sec), leaf count = 22
\[\left \{\left \{y(x)\to e^{x/2} \left (c_2 e^x+c_1\right )\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 17
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {x}{2}}}}+{\it \_C2}\,{{\rm e}^{{\frac {3\,x}{2}}}} \right \} \] Mathematica raw input
DSolve[3*y[x] - 8*y'[x] + 4*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^(x/2)*(C[1] + E^x*C[2])}}
Maple raw input
dsolve(4*diff(diff(y(x),x),x)-8*diff(y(x),x)+3*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = _C1*exp(1/2*x)+_C2*exp(3/2*x)