y''''-16y=0
You asked:
Solve the equation \(y^{(4)} - 16 y = 0\) for the variable \(y\).
MathBot Answer:
\[y{\left(t \right)} = C_{1} e^{- 2 t} + C_{2} e^{2 t} + C_{3} \sin{\left(2 t \right)} + C_{4} \cos{\left(2 t \right)}\]
\(C_{1}\), \(C_{2}\), \(C_{3}\), \(C_{4}\) are arbitrary constants.
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).