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Beliebt Rechnen >

y^{''''}-2y^{''}+y=11t+8

Lösung

y^{^{''''}} - 2 y^{^{''}} + y = 11 t + 8

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t} + 11 t + 8

Schritte zur Lösung

y^{(4)} (t) - 2 y^{''} (t) + y = 11 t + 8

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t} + 11 t + 8

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t} + 11 t + 8

Graph

Beliebte Beispiele

y^{''}+4/490 y^'+20y= 2/245 cos(6t)

y^{^{''}} + \frac{4}{490} y^{^{'}} + 20 y = \frac{2}{245} cos (6 t)

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

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

y^{''}+2y^'+4y=-10xe^x

y^{^{''}} + 2 y^{^{'}} + 4 y = - 10 x e^{x}

y^{''}+4y^'+5=50x+13e^{3x}

y^{^{''}} + 4 y^{^{'}} + 5 = 50 x + 13 e^{3 x}

(d^2y)/(dx^2)-6(dy)/(dx)=12x

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} = 12 x