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Beliebt Rechnen >

y^{'''}+y^{''}+y^'+y=e^{-t}+5t

Lösung

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 5 t

Lösung

y = c_{1} e^{- t} + c_{2} cos (t) + c_{3} sin (t) + \frac{e ^{- t} t}{2} + 5 t - 5

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} cos (t) + c_{3} sin (t) + \frac{e ^{- t} t}{2} + 5 t - 5

y = c_{1} e^{- t} + c_{2} cos (t) + c_{3} sin (t) + \frac{e ^{- t} t}{2} + 5 t - 5

Graph

Beliebte Beispiele

(d^2y)/(dx^2)(1)+(dy)/(dx)(10)+9y=18

\frac{d ^{2} y}{d x ^{2}} (1) + \frac{d y}{d x} (10) + 9 y = 18

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

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

y^{''}-2y^'-3y=2sin(x)

y^{^{''}} - 2 y^{^{'}} - 3 y = 2 sin (x)

y^{''}-2y^'+y=e^{3x}+e^{2x}

y^{^{''}} - 2 y^{^{'}} + y = e^{3 x} + e^{2 x}

(D^2-4D+4)y=sin(3x)

(D^{2} - 4 D + 4) y = sin (3 x)