4.26.16 \(y''(x)-7 y'(x)+12 y(x)=0\)

ODE
\[ y''(x)-7 y'(x)+12 y(x)=0 \] ODE Classification

[[_2nd_order, _missing_x]]

Book solution method
TO DO

Mathematica
cpu = 0.00470252 (sec), leaf count = 20

\[\left \{\left \{y(x)\to e^{3 x} \left (c_2 e^x+c_1\right )\right \}\right \}\]

Maple
cpu = 0.008 (sec), leaf count = 17

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{4\,x}}+{\it \_C2}\,{{\rm e}^{3\,x}} \right \} \] 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),'implicit')

Maple raw output

y(x) = _C1*exp(4*x)+_C2*exp(3*x)