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Beliebt Rechnen >

9y^{''}+8y^'-7y=0

Lösung

9 y^{^{''}} + 8 y^{^{'}} - 7 y = 0

Lösung

y = c_{1} e^{\frac{( - 4 + 79 ) t}{9}} + c_{2} e^{- \frac{( 4 + 79 ) t}{9}}

Schritte zur Lösung

9 y^{''} (t) + 8 y^{'} (t) - 7 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 4 + 79 ) t}{9}} + c_{2} e^{- \frac{( 4 + 79 ) t}{9}}

y = c_{1} e^{\frac{( - 4 + 79 ) t}{9}} + c_{2} e^{- \frac{( 4 + 79 ) t}{9}}

Graph

Beliebte Beispiele

y^{''''}-3y^{'''}-6y^{''}+28y^'-24y=0

y^{^{''''}} - 3 y^{^{'''}} - 6 y^{^{''}} + 28 y^{^{'}} - 24 y = 0

5y^{''}+20y^'+10y=0

5 y^{^{''}} + 20 y^{^{'}} + 10 y = 0

linear y^{''}+(216/7)y=0

l in e a r y^{^{''}} + (\frac{216}{7}) y = 0

(D^5-5D^4+7D^3+D^2-8D+4)y=0

(D^{5} - 5 D^{4} + 7 D^{3} + D^{2} - 8 D + 4) y = 0

y^{''}-7y+12y=0

y^{^{''}} - 7 y + 12 y = 0