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Beliebt Rechnen >

y^{''}-9y=-8e^t

Lösung

y^{^{''}} - 9 y = - 8 e^{t}

Lösung

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

Schritte zur Lösung

y^{''} (t) - 9 y = - 8 e^{t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+3y^{''}+y^'+3y=e^x+4

y^{^{'''}} + 3 y^{^{''}} + y^{^{'}} + 3 y = e^{x} + 4

y^{''}+9y=cos(2x)

y^{^{''}} + 9 y = cos (2 x)

y^{''}-10y^'+25y=x

y^{^{''}} - 10 y^{^{'}} + 25 y = x

(d^2y)/(dx^2)+y=xsin(x)

\frac{d ^{2} y}{d x ^{2}} + y = x sin (x)

1/6 y^{''}+6y=tan(6t)-1/2 e^{2t}

\frac{1}{6} y^{^{''}} + 6 y = tan (6 t) - \frac{1}{2} e^{2 t}