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Beliebt Rechnen >

y^{''}-16y=0,y(0)=1,y^{''}(0)=2

Lösung

y^{^{''}} - 16 y = 0, y (0) = 1, y^{^{''}} (0) = 2

Lösung

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- 4 t}

Schritte zur Lösung

y^{''} (t) - 16 y = 0

Solve linear ODE:

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- 4 t}

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- 4 t}

Graph

Beliebte Beispiele

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

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

y^{''''}-7y^{'''}+18y^{''}-20y^'+8y=0

y^{^{''''}} - 7 y^{^{'''}} + 18 y^{^{''}} - 20 y^{^{'}} + 8 y = 0

-y^{''}-2*pi^2y=0

- y^{^{''}} - 2 \cdot π^{2} y = 0

y^{''}+64y^'+16y=0

y^{^{''}} + 64 y^{^{'}} + 16 y = 0

y^{''}-14y^'+49y=0,y(0)=0,y^'(0)=8

y^{^{''}} - 14 y^{^{'}} + 49 y = 0, y (0) = 0, y^{^{'}} (0) = 8