ODE
\[ y''(x)+4 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.148707 (sec), leaf count = 20
\[\{\{y(x)\to c_1 \cos (2 x)+c_2 \sin (2 x)\}\}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 17
\[[y \left (x \right ) = \textit {\_C1} \sin \left (2 x \right )+\textit {\_C2} \cos \left (2 x \right )]\] Mathematica raw input
DSolve[4*y[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1]*Cos[2*x] + C[2]*Sin[2*x]}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+4*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*sin(2*x)+_C2*cos(2*x)]