ODE
\[ y''(x)-7 y'(x)+12 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.181308 (sec), leaf count = 20
\[\left \{\left \{y(x)\to e^{3 x} \left (c_2 e^x+c_1\right )\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 17
\[[y \left (x \right ) = {\mathrm e}^{4 x} \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{3 x}]\] Mathematica raw input
DSolve[12*y[x] - 7*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^(3*x)*(C[1] + E^x*C[2])}}
Maple raw input
dsolve(diff(diff(y(x),x),x)-7*diff(y(x),x)+12*y(x) = 0, y(x))
Maple raw output
[y(x) = exp(4*x)*_C1+_C2*exp(3*x)]