ODE
\[ y''(x)-2 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.00308243 (sec), leaf count = 31
\[\left \{\left \{y(x)\to c_1 e^{\sqrt {2} x}+c_2 e^{-\sqrt {2} x}\right \}\right \}\]
Maple ✓
cpu = 0.004 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{\sqrt {2}x}}+{\it \_C2}\,{{\rm e}^{-\sqrt {2}x}} \right \} \] Mathematica raw input
DSolve[-2*y[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^(Sqrt[2]*x)*C[1] + C[2]/E^(Sqrt[2]*x)}}
Maple raw input
dsolve(diff(diff(y(x),x),x)-2*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = _C1*exp(2^(1/2)*x)+_C2*exp(-2^(1/2)*x)