ODE
\[ y''(x)+y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.143557 (sec), leaf count = 16
\[\{\{y(x)\to c_1 \cos (x)+c_2 \sin (x)\}\}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 13
\[[y \left (x \right ) = \sin \left (x \right ) \textit {\_C1} +\textit {\_C2} \cos \left (x \right )]\] Mathematica raw input
DSolve[y[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1]*Cos[x] + C[2]*Sin[x]}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = sin(x)*_C1+_C2*cos(x)]