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Beliebt Rechnen >

64y^{''}+80y^'+16y=0,y(0)=0,y^'(0)=1

Lösung

64 y^{^{''}} + 80 y^{^{'}} + 16 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = \frac{4}{3} e^{- \frac{t}{4}} - \frac{4}{3} e^{- t}

Schritte zur Lösung

64 y^{''} (t) + 80 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = \frac{4}{3} e^{- \frac{t}{4}} - \frac{4}{3} e^{- t}

y = \frac{4}{3} e^{- \frac{t}{4}} - \frac{4}{3} e^{- t}

Graph

Beliebte Beispiele

y^{''}+4y^'+13y=0,y(0)=2,y^'(0)=5

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y (0) = 2, y^{^{'}} (0) = 5

y^{''}+0/3 y^'+12/3 y=0

y^{^{''}} + \frac{0}{3} y^{^{'}} + \frac{12}{3} y = 0

3y^{'''}-2y^{''}-37y^'-12y=0

3 y^{^{'''}} - 2 y^{^{''}} - 37 y^{^{'}} - 12 y = 0

-y^{''}+4y^'+5y=0

- y^{^{''}} + 4 y^{^{'}} + 5 y = 0

4y^{''}-12y^'+9y=0,y(0)=1

4 y^{^{''}} - 12 y^{^{'}} + 9 y = 0, y (0) = 1