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Beliebt Rechnen >

(y^{''})/8+3y^'+4y=0,y(0)=0,y^'(0)=-5

Lösung

\frac{y ^{^{''}}}{8} + 3 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

Lösung

y = - \frac{5}{8 7} e^{4 (7 - 3) t} + \frac{5}{8 7} e^{- 4 (3 + 7) t}

Schritte zur Lösung

\frac{y ^{''} ( t )}{8} + 3 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = - \frac{5}{8 7} e^{4 (7 - 3) t} + \frac{5}{8 7} e^{- 4 (3 + 7) t}

y = - \frac{5}{8 7} e^{4 (7 - 3) t} + \frac{5}{8 7} e^{- 4 (3 + 7) t}

Graph

Beliebte Beispiele

y^{''}+4y=0,y(0)=6,y^{''}(0)=-4

y^{^{''}} + 4 y = 0, y (0) = 6, y^{^{''}} (0) = - 4

4y^{''}-12y^'+73y=0

4 y^{^{''}} - 12 y^{^{'}} + 73 y = 0

81 y^{^{''}} - 4 y = 0

y^{'''}+3y^{''}-7y^'+3y=0

y^{^{'''}} + 3 y^{^{''}} - 7 y^{^{'}} + 3 y = 0

y^{''}+6y^'+16y=0,y(0)=4,y^'(0)=0

y^{^{''}} + 6 y^{^{'}} + 16 y = 0, y (0) = 4, y^{^{'}} (0) = 0