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Beliebt Rechnen >

100y^{'''}+60y^{''}+9y^'=0

Lösung

100 y^{^{'''}} + 60 y^{^{''}} + 9 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{3 t}{10}} + c_{3} e^{- \frac{3 t}{10}} t

Schritte zur Lösung

100 y^{'''} (t) + 60 y^{''} (t) + 9 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{3 t}{10}} + c_{3} e^{- \frac{3 t}{10}} t

y = c_{1} + c_{2} e^{- \frac{3 t}{10}} + c_{3} e^{- \frac{3 t}{10}} t

Graph

Beliebte Beispiele

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

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

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

18y^{''}+72y=0,y(0)=1,y^'(0)=-6

18 y^{^{''}} + 72 y = 0, y (0) = 1, y^{^{'}} (0) = - 6

6y^{''}-10y^'+4y=0

6 y^{^{''}} - 10 y^{^{'}} + 4 y = 0

(d^2y)/(dx^2)+4(dy)/(dx)+7y=0

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 7 y = 0