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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- 3 t} + e^{t} (c_{2} cos (t) + c_{3} sin (t))

Schritte zur Lösung

y^{'''} (t) + y^{''} (t) - 4 y^{'} (t) + 6 y = 0

Solve linear ODE:

y = c_{1} e^{- 3 t} + e^{t} (c_{2} cos (t) + c_{3} sin (t))

y = c_{1} e^{- 3 t} + e^{t} (c_{2} cos (t) + c_{3} sin (t))

Graph

Beliebte Beispiele

(d^2y)/(dx^2)(1)-9y=0

\frac{d ^{2} y}{d x ^{2}} (1) - 9 y = 0

y^{'''}+3y^{''}-30y^'-50y=0

y^{^{'''}} + 3 y^{^{''}} - 30 y^{^{'}} - 50 y = 0

25y^{''}-40y^'+16y=0,y(0)=4,y^'(0)=-3

25 y^{^{''}} - 40 y^{^{'}} + 16 y = 0, y (0) = 4, y^{^{'}} (0) = - 3

y^{''}-16y=0,y(0)=3,y^'(0)=5

y^{^{''}} - 16 y = 0, y (0) = 3, y^{^{'}} (0) = 5

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

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