ODE
\[ 3 y''(x)-10 y'(x)+3 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.166416 (sec), leaf count = 24
\[\left \{\left \{y(x)\to c_1 e^{x/3}+c_2 e^{3 x}\right \}\right \}\]
Maple ✓
cpu = 0.01 (sec), leaf count = 17
\[\left [y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{3 x}+\textit {\_C2} \,{\mathrm e}^{\frac {x}{3}}\right ]\] 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))
Maple raw output
[y(x) = _C1*exp(3*x)+_C2*exp(1/3*x)]