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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(D^3-3D^2+3D-1)y=e^x+1

(D^{3} - 3 D^{2} + 3 D - 1) y = e^{x} + 1

y^{''}-4y^'=(x^2-3)sin(2x)

y^{^{''}} - 4 y^{^{'}} = (x^{2} - 3) sin (2 x)

2y^{''}+3y^'+y=sin(x)

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

y^{''}+5y^'+6y=3

y^{^{''}} + 5 y^{^{'}} + 6 y = 3

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

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