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Beliebt Rechnen >

y^{''}-10y^'+25y=4,-e^ty(0)=1,y(1)=0

Lösung

y^{^{''}} - 10 y^{^{'}} + 25 y = 4, - e^{t} y (0) = 1, y (1) = 0

Lösung

y = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{4}{25}

Schritte zur Lösung

y^{''} (t) - 10 y^{'} (t) + 25 y = 4

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{4}{25}

y = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{4}{25}

Graph

Beliebte Beispiele

y^{''}+16y=3e^{3t}

y^{^{''}} + 16 y = 3 e^{3 t}

y^{''}-y^'+2y=cos(x),y(0)=1,y^'(0)=0

y^{^{''}} - y^{^{'}} + 2 y = cos (x), y (0) = 1, y^{^{'}} (0) = 0

y^{'''}+7y^{''}-6y^'-72y=-360

y^{^{'''}} + 7 y^{^{''}} - 6 y^{^{'}} - 72 y = - 360

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

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

y^{''}+4y=2sin(t)

y^{^{''}} + 4 y = 2 sin (t)