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Beliebt Rechnen >

y^{''}-3y^'+2y=2e^{-5t}

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 e^{- 5 t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{t} + \frac{1}{21} e^{- 5 t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 2 e^{- 5 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{t} + \frac{1}{21} e^{- 5 t}

y = c_{1} e^{2 t} + c_{2} e^{t} + \frac{1}{21} e^{- 5 t}

Graph

Beliebte Beispiele

y^{''}-2y-3y=4e^x-9

y^{^{''}} - 2 y - 3 y = 4 e^{x} - 9

y^{''}-y^'-6y=69cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 69 cos (3 x)

(d^3y)/(dx^3)+(dy)/(dx)=e^x

\frac{d ^{3} y}{d x ^{3}} + \frac{d y}{d x} = e^{x}

y^{''}-5y^'+6y=2x+1

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 x + 1

4x^{''}+x=t^2+2cos(t)

4 x^{^{''}} + x = t^{2} + 2 cos (t)