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Beliebt Rechnen >

y^{''}-4y^'=6e^{3t}-3e^{-t}

Lösung

y^{^{''}} - 4 y^{^{'}} = 6 e^{3 t} - 3 e^{- t}

Lösung

y = c_{1} e^{4 t} + c_{2} - 2 e^{3 t} - \frac{3}{5} e^{- t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) = 6 e^{3 t} - 3 e^{- t}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} - 2 e^{3 t} - \frac{3}{5} e^{- t}

y = c_{1} e^{4 t} + c_{2} - 2 e^{3 t} - \frac{3}{5} e^{- t}

Graph

Beliebte Beispiele

y^{''}+2y^'-24y=16-(x+2)e^{4x}

y^{^{''}} + 2 y^{^{'}} - 24 y = 16 - (x + 2) e^{4 x}

y^{'''}+y^{''}=e^xcos(x)

y^{^{'''}} + y^{^{''}} = e^{x} cos (x)

y^{^{''}} + a y^{^{'}} = b

y^{''}-8y^'+16y=10e^{4x}sec(x)

y^{^{''}} - 8 y^{^{'}} + 16 y = 10 e^{4 x} sec (x)

y^{''}+4y=cos^2(x)

y^{^{''}} + 4 y = cos^{2} (x)