ODE
\[ 3 y''(x)-10 y'(x)+3 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.0055124 (sec), leaf count = 24
\[\left \{\left \{y(x)\to c_1 e^{x/3}+c_2 e^{3 x}\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 17
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{3\,x}}+{\it \_C2}\,{{\rm e}^{{\frac {x}{3}}}} \right \} \] Mathematica raw input
DSolve[3*y[x] - 10*y'[x] + 3*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^(x/3)*C[1] + E^(3*x)*C[2]}}
Maple raw input
dsolve(3*diff(diff(y(x),x),x)-10*diff(y(x),x)+3*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = _C1*exp(3*x)+_C2*exp(1/3*x)