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Beliebt Rechnen >

y^{''}+2y^'-3y=e^{-3t}

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{- 3 t}

Lösung

y = c_{1} e^{t} + c_{2} e^{- 3 t} - \frac{e ^{- 3 t} t}{4}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 3 y = e^{- 3 t}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 3 t} - \frac{e ^{- 3 t} t}{4}

y = c_{1} e^{t} + c_{2} e^{- 3 t} - \frac{e ^{- 3 t} t}{4}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-a^2y+b=0

\frac{d ^{2} y}{d x ^{2}} - a^{2} y + b = 0

y^{''}-y^'=3cos(2x)

y^{^{''}} - y^{^{'}} = 3 cos (2 x)

y^{''}-25y=cos(5x)

y^{^{''}} - 25 y = cos (5 x)

y^{''}+9y=sin(x)+sin(3x)

y^{^{''}} + 9 y = sin (x) + sin (3 x)

y^{''}+4y=t^2+4e^t,y(0)=0,y^'(0)=9

y^{^{''}} + 4 y = t^{2} + 4 e^{t}, y (0) = 0, y^{^{'}} (0) = 9