y′′′−6y′′+8y′=0
You asked:
Solve the equation \(y^{\prime \prime \prime} - 6 \cdot y^{\prime \prime} + 8 \cdot y^{\prime} = 0\) for the variable \(y\).
MathBot Answer:
\[y{\left(t \right)} = C_{2} e^{2 t} + C_{3} e^{4 t} + C_{1}\]
\(C_{1}\), \(C_{2}\), \(C_{3}\) are arbitrary constants.
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).