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Beliebt Rechnen >

y^{''}-16y=0,y(0)=4

Lösung

y^{^{''}} - 16 y = 0, y (0) = 4

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

21y^{''''}+187y^{''}+400y=0

21 y^{^{''''}} + 187 y^{^{''}} + 400 y = 0

x^{''}-8x^'+16x=0

x^{^{''}} - 8 x^{^{'}} + 16 x = 0

y^{''}+3y^'+9/4 y=0

y^{^{''}} + 3 y^{^{'}} + \frac{9}{4} y = 0

y^{''}-y^'-12y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

24y^{''}+7y^'-5y=0

24 y^{^{''}} + 7 y^{^{'}} - 5 y = 0