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Beliebt Rechnen >

(y^{''})/8+5y^'+4y=0,y(0)=0,y^'(0)=-5

Lösung

\frac{y ^{^{''}}}{8} + 5 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

Lösung

y = - \frac{5}{8 23} e^{4 (23 - 5) t} + \frac{5}{8 23} e^{- 4 (5 + 23) t}

Schritte zur Lösung

\frac{y ^{''} ( t )}{8} + 5 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = - \frac{5}{8 23} e^{4 (23 - 5) t} + \frac{5}{8 23} e^{- 4 (5 + 23) t}

y = - \frac{5}{8 23} e^{4 (23 - 5) t} + \frac{5}{8 23} e^{- 4 (5 + 23) t}

Graph

Beliebte Beispiele

-1y^{''}+10y=0,y(0)=1,y(1)=0

- 1 y^{^{''}} + 10 y = 0, y (0) = 1, y (1) = 0

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

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

(D^{2} + 4 D + 3) y = 0

(D^{4} - 2 D^{2}) y = 0

y^{''}+4y^'+13y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y (0) = 1, y^{^{'}} (0) = 2