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Beliebt Rechnen >

y^{''}-11y^'+28y=216e^t

Lösung

y^{^{''}} - 11 y^{^{'}} + 28 y = 216 e^{t}

Lösung

y = c_{1} e^{7 t} + c_{2} e^{4 t} + 12 e^{t}

Schritte zur Lösung

y^{''} (t) - 11 y^{'} (t) + 28 y = 216 e^{t}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{4 t} + 12 e^{t}

y = c_{1} e^{7 t} + c_{2} e^{4 t} + 12 e^{t}

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=4e^{-3t}

y^{^{''}} - 6 y^{^{'}} + 9 y = 4 e^{- 3 t}

y^{''}+5y^'+6y=sin(x)

y^{^{''}} + 5 y^{^{'}} + 6 y = sin (x)

y^{''}-y^'-6y=70cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 70 cos (3 x)

y^{''}+4y^'+13y=-2sin(3t)

y^{^{''}} + 4 y^{^{'}} + 13 y = - 2 sin (3 t)

2y^{''}+3y-2y=6x^2+5x-8

2 y^{^{''}} + 3 y - 2 y = 6 x^{2} + 5 x - 8