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Beliebt Rechnen >

y^{''}-8y^'+16y=0,y(0)=-4,y^'(0)=0

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = - 4, y^{^{'}} (0) = 0

Lösung

y = - 4 e^{4 t} + 16 e^{4 t} t

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = - 4 e^{4 t} + 16 e^{4 t} t

y = - 4 e^{4 t} + 16 e^{4 t} t

Graph

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x \to 2 - lim (\frac{x ^{2} - 4}{x - 2})