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Beliebt Rechnen >

y^{'''}-5y+4y=0

Lösung

y^{^{'''}} - 5 y + 4 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 5 y + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''''}-y^{''}=2(4y^{''})

y^{^{''''}} - y^{^{''}} = 2 (4 y^{^{''}})

y^{''}-1y^'-2y=0

y^{^{''}} - 1 y^{^{'}} - 2 y = 0

y^{''''}-(-5)y^{''}+4y=0

y^{^{''''}} - (- 5) y^{^{''}} + 4 y = 0

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

2y^{''}+5y^'-3y=0,y(0)=-1,y^'(0)=10

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = - 1, y^{^{'}} (0) = 10