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Beliebt Rechnen >

81y^{''}+90y^'+25y=0

Lösung

81 y^{^{''}} + 90 y^{^{'}} + 25 y = 0

Lösung

y = c_{1} e^{- \frac{5 t}{9}} + c_{2} e^{- \frac{5 t}{9}} t

Schritte zur Lösung

81 y^{''} (t) + 90 y^{'} (t) + 25 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{5 t}{9}} + c_{2} e^{- \frac{5 t}{9}} t

y = c_{1} e^{- \frac{5 t}{9}} + c_{2} e^{- \frac{5 t}{9}} t

Graph

Beliebte Beispiele

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d er i v a t i v e (5 x^{2} - 10 x + 10) e^{x}

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d er i v a t i v e \frac{1}{x ^{2} - 4}

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\int_{0}^{\infty} 2^{- x} d x

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d er i v a t i v e f (x) = x (x - 1) (x - 2)