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Beliebt Rechnen >

y^{'''}+2y^{''}-19y^'-20y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} - 19 y^{^{'}} - 20 y = 0

Lösung

y = c_{1} e^{- t} + c_{2} e^{4 t} + c_{3} e^{- 5 t}

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 19 y^{'} (t) - 20 y = 0

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{4 t} + c_{3} e^{- 5 t}

y = c_{1} e^{- t} + c_{2} e^{4 t} + c_{3} e^{- 5 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-6(dy)/(dx)+14y=0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 14 y = 0

y^{''}-13y^'+30y=0

y^{^{''}} - 13 y^{^{'}} + 30 y = 0

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

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

2y^{''}+5y^'-3y=0,y(0)=-1,y^'(0)=17

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = - 1, y^{^{'}} (0) = 17

y^{'''}-3y^{''}-25y^'-21y=0

y^{^{'''}} - 3 y^{^{''}} - 25 y^{^{'}} - 21 y = 0