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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 7 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 7 t}

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 7 t}

Graph

Beliebte Beispiele

4/(9.8)y^{''}+0.4y^'+4y=0

\frac{4}{9.8} y^{^{''}} + 0.4 y^{^{'}} + 4 y = 0

((d^2y)/(dx^2)-6(dy)/(dx)+9y)^2=0

(\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y)^{2} = 0

y^{''}+12y^'+36y=0,y^'(0)=0,y(0)=5

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y^{^{'}} (0) = 0, y (0) = 5

100y^{''}+125y^'+100y=0

100 y^{^{''}} + 125 y^{^{'}} + 100 y = 0

y^{''}+49y=0,y(0)=6,y^'(0)=-6

y^{^{''}} + 49 y = 0, y (0) = 6, y^{^{'}} (0) = - 6