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Beliebt Rechnen >

y^{''}+2y^'-8y=0,y(0)=-2,y^'(0)=1

Lösung

y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = - 2, y^{^{'}} (0) = 1

Lösung

y = (- 2 + \frac{5}{6}) e^{2 t} - \frac{5}{6} e^{- 4 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 8 y = 0

Solve linear ODE:

y = (- 2 + \frac{5}{6}) e^{2 t} - \frac{5}{6} e^{- 4 t}

y = (- 2 + \frac{5}{6}) e^{2 t} - \frac{5}{6} e^{- 4 t}

Graph

Beliebte Beispiele

y^{''}+0y^'+16y=0

y^{^{''}} + 0 y^{^{'}} + 16 y = 0

y^{''}+4y^'+29y=0,y(0)=3,y^'(0)=-5

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 3, y^{^{'}} (0) = - 5

y^{'''}-2y^{''}-63y^'=0

y^{^{'''}} - 2 y^{^{''}} - 63 y^{^{'}} = 0

3/4 x^{''}+72x=0,x(0)=-1/4 ,x^'(0)=0

\frac{3}{4} x^{^{''}} + 72 x = 0, x (0) = - \frac{1}{4}, x^{^{'}} (0) = 0

1/16 x^{''}+x^'+4x=0

\frac{1}{16} x^{^{''}} + x^{^{'}} + 4 x = 0