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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- t} + c_{2} cos (t) + c_{3} sin (t) + \frac{e ^{- t} t}{2} + 6 t - 6

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} cos (t) + c_{3} sin (t) + \frac{e ^{- t} t}{2} + 6 t - 6

y = c_{1} e^{- t} + c_{2} cos (t) + c_{3} sin (t) + \frac{e ^{- t} t}{2} + 6 t - 6

Graph

Beliebte Beispiele

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

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

y^{''}-6y^'+5y=e^{-3x}

y^{^{''}} - 6 y^{^{'}} + 5 y = e^{- 3 x}

y^{''}-y^'=x^2-4

y^{^{''}} - y^{^{'}} = x^{2} - 4

y^{''}+y= 1/(x^2)

y^{^{''}} + y = \frac{1}{x ^{2}}

(d^2y)/(dt^2)+2*(dy)/(dt)+2y=11t^3

\frac{d ^{2} y}{d t ^{2}} + 2 \cdot \frac{d y}{d t} + 2 y = 11 t^{3}