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Beliebt Rechnen >

y^{''}-4y^'-5y=0,y(0)=2,y^'(0)=3

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 2, y^{^{'}} (0) = 3

Lösung

y = (2 - \frac{7}{6}) e^{5 t} + \frac{7}{6} e^{- t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = (2 - \frac{7}{6}) e^{5 t} + \frac{7}{6} e^{- t}

y = (2 - \frac{7}{6}) e^{5 t} + \frac{7}{6} e^{- t}

Graph

Beliebte Beispiele

(d^5+8d^3+16d)y=0

(d^{5} + 8 d^{3} + 16 d) y = 0

(d^2x)/(dt^2)+81x=0

\frac{d ^{2} x}{d t ^{2}} + 81 x = 0

1/4 y^{''}+y^'+4y=0

\frac{1}{4} y^{^{''}} + y^{^{'}} + 4 y = 0

y^{'''}+5y^{''}+3y^'-9y=0

y^{^{'''}} + 5 y^{^{''}} + 3 y^{^{'}} - 9 y = 0

y^{'''}+2y^'-3y=0

y^{^{'''}} + 2 y^{^{'}} - 3 y = 0