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Beliebt Rechnen >

linear y^{'''}+7y^{''}+8y^'-16y=0

Lösung

linear

y^{^{'''}} + 7 y^{^{''}} + 8 y^{^{'}} - 16 y = 0

Lösung

y = c_{1} e^{t} + c_{2} e^{- 4 t} + c_{3} t e^{- 4 t}

Schritte zur Lösung

y^{'''} (t) + 7 y^{''} (t) + 8 y^{'} (t) - 16 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 4 t} + c_{3} t e^{- 4 t}

y = c_{1} e^{t} + c_{2} e^{- 4 t} + c_{3} t e^{- 4 t}

Graph

Beliebte Beispiele

y^{''}+3y^'-4y=0,y(0)=5,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} - 4 y = 0, y (0) = 5, y^{^{'}} (0) = 0

y^{'''}+6y^{''}-36y^'-216y=0

y^{^{'''}} + 6 y^{^{''}} - 36 y^{^{'}} - 216 y = 0

(D^{2} - 2 D + 1) y = 0

(d^2y)/(dx^2)-0.15y=0

\frac{d ^{2} y}{d x ^{2}} - 0.15 y = 0

y^{''}-15y^'+50y=0,y(0)=11,y^'(0)=-65

y^{^{''}} - 15 y^{^{'}} + 50 y = 0, y (0) = 11, y^{^{'}} (0) = - 65