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Beliebt Rechnen >

y^{'''}-2y^'+4y=0

Lösung

y^{^{'''}} - 2 y^{^{'}} + 4 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 2 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

1/4 y^{''}+sqrt(2)y^'+2y=0

\frac{1}{4} y^{^{''}} + 2 y^{^{'}} + 2 y = 0

4y^{''}-16y^'+17y=0

4 y^{^{''}} - 16 y^{^{'}} + 17 y = 0

y^{''}-7y^'+12y=0,y(0)=0,y(0)=3

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 0, y (0) = 3

y^{''}+(a-1)y^'+by=0

y^{^{''}} + (a - 1) y^{^{'}} + b y = 0

8y^{''}-9y^'+y=0,y(0)=8,y^'(0)= 1/8

8 y^{^{''}} - 9 y^{^{'}} + y = 0, y (0) = 8, y^{^{'}} (0) = \frac{1}{8}