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Beliebt Rechnen >

1y^{''}+8y^'+16y=0,y(0)=3,y^'(0)=-7

Lösung

1 y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = - 7

Lösung

y = 3 e^{- 4 t} + 5 t e^{- 4 t}

Schritte zur Lösung

1 y^{''} (t) + 8 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = 3 e^{- 4 t} + 5 t e^{- 4 t}

y = 3 e^{- 4 t} + 5 t e^{- 4 t}

Graph

Beliebte Beispiele

(d^3-d^2-12d)y=0

(d^{3} - d^{2} - 12 d) y = 0

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

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

15y^{''''}+83y^{''}+16y=0

15 y^{^{''''}} + 83 y^{^{''}} + 16 y = 0

y^{''}+64y=0,y(0)=4,y^'(0)=3

y^{^{''}} + 64 y = 0, y (0) = 4, y^{^{'}} (0) = 3

12y^{''}-5y^'-3y=0,y(0)=2

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