y'' +4y'-5y=0 . Find the general solution
You asked:
Solve the equation \(y^{\prime \prime} + 4 \cdot y^{\prime} - 5 y = 0\) for the variable \(y\).
MathBot Answer:
\[y{\left(t \right)} = C_{1} e^{- 5 t} + C_{2} e^{t}\]
\(C_{1}\), \(C_{2}\) are arbitrary constants.
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).