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Beliebt Rechnen >

y^{''}+2y^'+y=t^2+1-e^t

Lösung

y^{^{''}} + 2 y^{^{'}} + y = t^{2} + 1 - e^{t}

Lösung

y = c_{1} e^{- t} + c_{2} t e^{- t} + t^{2} - 4 t + 7 - \frac{1}{4} e^{t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} t e^{- t} + t^{2} - 4 t + 7 - \frac{1}{4} e^{t}

y = c_{1} e^{- t} + c_{2} t e^{- t} + t^{2} - 4 t + 7 - \frac{1}{4} e^{t}

Graph

Beliebte Beispiele

derivative of 3tan(sqrt(x)+cotan(3x))

\frac{d}{d x} (3 tan (x) + co tan (3 x))

derivative of cos(2xy)

\frac{d}{d x} (cos (2 x) y)

fläche y=x^2-6,y=3

a re a y = x^{2} - 6, y = 3

fläche y=e^{3x},y=e^x,[0,2]

a re a y = e^{3 x}, y = e^{x}, [0, 2]

derivative of (24/(x^5))

\frac{d}{d x} (\frac{24}{x ^{5}})