y^{''}+7y^'+10y=-11te^{2t}

Lösung

y^{^{''}} + 7 y^{^{'}} + 10 y = - 11 t e^{2 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{11 e ^{2 t} t}{28} + \frac{121}{784} e^{2 t}

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) + 10 y = - 11 t e^{2 t}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{11 e ^{2 t} t}{28} + \frac{121}{784} e^{2 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{11 e ^{2 t} t}{28} + \frac{121}{784} e^{2 t}

\int (4 x + 1)^{3} d x

d er i v a t i v e - sec (\frac{1}{x} + 7 x)

\frac{\partial}{\partial x} (7 e^{x y})

\frac{d}{d x} (3 x tan (5 x))

\frac{d}{d x} (\frac{x}{ln ( x )})