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Beliebt Rechnen >

y^{''}-2y^'-48y=-136t+96t^2

Lösung

y^{^{''}} - 2 y^{^{'}} - 48 y = - 136 t + 96 t^{2}

Lösung

y = c_{1} e^{8 t} + c_{2} e^{- 6 t} - 2 t^{2} + 3 t - \frac{5}{24}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 48 y = - 136 t + 96 t^{2}

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} e^{- 6 t} - 2 t^{2} + 3 t - \frac{5}{24}

y = c_{1} e^{8 t} + c_{2} e^{- 6 t} - 2 t^{2} + 3 t - \frac{5}{24}

Graph

Beliebte Beispiele

y^{''}+4y=6cos(2x)

y^{^{''}} + 4 y = 6 cos (2 x)

y^{'''}-y^{''}-25y^'+25y=6-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 6 - e^{x} + e^{5 x}

y^{''''}+2y^{''}+y=7+cos(3t)

y^{^{''''}} + 2 y^{^{''}} + y = 7 + cos (3 t)

y^{''}-2y^'+y=x^{(-1)/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{- 1}{2}} e^{x}

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

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