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Beliebt Rechnen >

y^{''}+6y^'-16y=-272sin(8x)

Lösung

y^{^{''}} + 6 y^{^{'}} - 16 y = - 272 sin (8 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) - 16 y = - 272 sin (8 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of (ln(cos(2x))/x)

\frac{d}{d x} (\frac{ln ( cos ( 2 x ) )}{x})

derivative of cos(sqrt(3)x)

\frac{d}{d x} (cos (3 x))

derivative of arcsin(x+arccos(x))

\frac{d}{d x} (arcsin (x) + arccos (x))

integral of sqrt(8x+1)

\int 8 x + 1 d x

integral of (e^t+1)^2

\int (e^{t} + 1)^{2} d t