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Beliebt Rechnen >

y^{''}+4y^'+4y=5e^{3t}

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 5 e^{3 t}

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 4 y = 5 e^{3 t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y^'+5/4 y=3cos(x)

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 3 cos (x)

y^{''}+y^'-6y=8+4e^t

y^{^{''}} + y^{^{'}} - 6 y = 8 + 4 e^{t}

u^{''}-3\H(t)=7cos(t),\H(0)=-3/4 ,u^'(0)=0

u^{^{''}} - 3 H (t) = 7 cos (t), H (0) = - \frac{3}{4}, u^{^{'}} (0) = 0

y^{''}+y^'=5x+2e^x

y^{^{''}} + y^{^{'}} = 5 x + 2 e^{x}

y^{''}-y^'-2y=3sin(x)

y^{^{''}} - y^{^{'}} - 2 y = 3 sin (x)