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Beliebt Rechnen >

y^{''}+4y^'+4y=4e^{-2t}

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 4 e^{- 2 t}

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of ((x-3))/((x+4)(x-5))

\int \frac{( x - 3 )}{( x + 4 ) ( x - 5 )} d x

derivative of x^3-5x^2+7x-3

\frac{d}{d x} (x^{3} - 5 x^{2} + 7 x - 3)

(\partial)/(\partial x)(x^2y-1/(xy))

\frac{\partial}{\partial x} (x^{2} y - \frac{1}{x y})

derivative of arccot(sqrt(x))

\frac{d}{d x} (arccot (x))

f(x)=x^2sqrt(9-x^2)

f (x) = x^{2} 9 - x^{2}