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Beliebt Rechnen >

y^{''}-8y^'+16y=0,y(0)=4

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 4

Lösung

y = 4 e^{4 t} + c_{2} t e^{4 t}

Schritte zur Lösung

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

Solve linear ODE:

y = 4 e^{4 t} + c_{2} t e^{4 t}

y = 4 e^{4 t} + c_{2} t e^{4 t}

Graph

Beliebte Beispiele

(d^2y)/(dt^2)-2(dy)/(dt)-3y=0

\frac{d ^{2} y}{d t ^{2}} - 2 \frac{d y}{d t} - 3 y = 0

y^{''}-12y^'+32y=0,y(0)=1,y^'(0)=4

y^{^{''}} - 12 y^{^{'}} + 32 y = 0, y (0) = 1, y^{^{'}} (0) = 4

y^{''''}-34y^{'''}+289y^{''}=0

y^{^{''''}} - 34 y^{^{'''}} + 289 y^{^{''}} = 0

y^{''}+2y^'-4y=0

y^{^{''}} + 2 y^{^{'}} - 4 y = 0

9y^{''}+17y^'-2y=0

9 y^{^{''}} + 17 y^{^{'}} - 2 y = 0