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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{1}{6} e^{t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{1}{6} e^{t}

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{1}{6} e^{t}

Graph

Beliebte Beispiele

y^{''}+4y=-12sin(2x)

y^{^{''}} + 4 y = - 12 sin (2 x)

y^{'''}-4y^{''}=x+xe^{4x}

y^{^{'''}} - 4 y^{^{''}} = x + x e^{4 x}

y^{'''}-y^{''}+y^'-y=xe^x-e^{-x}+7

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = x e^{x} - e^{- x} + 7

y^{''}+36y=csc(6x)

y^{^{''}} + 36 y = csc (6 x)

y^{''}-2y^'-3y=3x+1

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 x + 1