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Beliebt Rechnen >

y^{''}+4y^'+40y=40cos(8t)

Lösung

y^{^{''}} + 4 y^{^{'}} + 40 y = 40 cos (8 t)

Lösung

y = e^{- 2 t} (c_{1} cos (6 t) + c_{2} sin (6 t)) + \frac{4}{5} sin (8 t) - \frac{3}{5} cos (8 t)

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 40 y = 40 cos (8 t)

Solve linear ODE:

y = e^{- 2 t} (c_{1} cos (6 t) + c_{2} sin (6 t)) + \frac{4}{5} sin (8 t) - \frac{3}{5} cos (8 t)

y = e^{- 2 t} (c_{1} cos (6 t) + c_{2} sin (6 t)) + \frac{4}{5} sin (8 t) - \frac{3}{5} cos (8 t)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/(3x))

\frac{\partial}{\partial x} (\frac{1}{3 x})

integral of 1+4x

\int 1 + 4 x d x

derivative of sec^2(9x)

\frac{d}{d x} (sec^{2} (9 x))

(\partial)/(\partial x)(1/(2x)arctan(y/x))

\frac{\partial}{\partial x} (\frac{1}{2 x} arctan (\frac{y}{x}))

integral of 1/(\sqrt[3]{x)-x}

\int \frac{1}{3 x - x} d x