ODE
\[ -4 y'''(x)+y''''(x)+12 y''(x)-16 y'(x)+16 y(x)=0 \] ODE Classification
[[_high_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.0110894 (sec), leaf count = 42
\[\left \{\left \{y(x)\to e^x \left (\left (c_2 x+c_1\right ) \sin \left (\sqrt {3} x\right )+\left (c_4 x+c_3\right ) \cos \left (\sqrt {3} x\right )\right )\right \}\right \}\]
Maple ✓
cpu = 0.004 (sec), leaf count = 32
\[ \left \{ y \left ( x \right ) = \left ( \left ( {\it \_C4}\,x+{\it \_C2} \right ) \cos \left ( \sqrt {3}x \right ) +\sin \left ( \sqrt {3}x \right ) \left ( {\it \_C3}\,x+{\it \_C1} \right ) \right ) {{\rm e}^{x}} \right \} \] Mathematica raw input
DSolve[16*y[x] - 16*y'[x] + 12*y''[x] - 4*y'''[x] + y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^x*((C[3] + x*C[4])*Cos[Sqrt[3]*x] + (C[1] + x*C[2])*Sin[Sqrt[3]*x])}}
Maple raw input
dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-4*diff(diff(diff(y(x),x),x),x)+12*diff(diff(y(x),x),x)-16*diff(y(x),x)+16*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = ((_C4*x+_C2)*cos(3^(1/2)*x)+sin(3^(1/2)*x)*(_C3*x+_C1))*exp(x)