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Beliebt Rechnen >

y^{'''}-y^{''}-y^'+y=9e^{-t}+6

Lösung

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 9 e^{- t} + 6

Lösung

y = c_{1} e^{- t} + c_{2} e^{t} + c_{3} t e^{t} + \frac{9 e ^{- t} t}{4} + 6

Schritte zur Lösung

y^{'''} (t) - y^{''} (t) - y^{'} (t) + y = 9 e^{- t} + 6

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{t} + c_{3} t e^{t} + \frac{9 e ^{- t} t}{4} + 6

y = c_{1} e^{- t} + c_{2} e^{t} + c_{3} t e^{t} + \frac{9 e ^{- t} t}{4} + 6

Graph

Beliebte Beispiele

y^{''}=-4y^'-5y+2

y^{^{''}} = - 4 y^{^{'}} - 5 y + 2

y^{''}-5y^'+6y=2sin(4x)

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 sin (4 x)

y^{''}+7y^'+10y=e^{3x},y(0)=0,y^'(0)=0

y^{^{''}} + 7 y^{^{'}} + 10 y = e^{3 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''''}-y=15t+cos(t)

y^{^{''''}} - y = 15 t + cos (t)

(d^2)/(dt^2)(θ(t))+4θ(t)=csc(2)(2t)

\frac{d ^{2}}{d t ^{2}} (θ (t)) + 4 θ (t) = csc (2) (2 t)