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Beliebt Rechnen >

y^{''}-4y^'-14y=0

Lösung

y^{^{''}} - 4 y^{^{'}} - 14 y = 0

Lösung

y = c_{1} e^{(2 + 32) t} + c_{2} e^{(2 - 32) t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 14 y = 0

Solve linear ODE:

y = c_{1} e^{(2 + 32) t} + c_{2} e^{(2 - 32) t}

y = c_{1} e^{(2 + 32) t} + c_{2} e^{(2 - 32) t}

Graph

Beliebte Beispiele

6y^{''}+5y^'+y=0

6 y^{^{''}} + 5 y^{^{'}} + y = 0

(D^4+8D^2+16)y=0

(D^{4} + 8 D^{2} + 16) y = 0

-6y^{''}+54y^'=0,y^'(-1)=1,y(2)=1

- 6 y^{^{''}} + 54 y^{^{'}} = 0, y^{^{'}} (- 1) = 1, y (2) = 1

6f^{''}(t)=3f^{''}(t)-5f(t)

6 f^{^{''}} (t) = 3 f^{^{''}} (t) - 5 f (t)

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

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